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Finding the Fourth Proportional to 464.32, 693.09 and 430.48

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Solution

The fourth proportional to 464.32, 693.09 and 430.48 is: 642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.32 : 693.09 = 430.48 : x
  2. Step 2: Convert to fraction form
    464.32/693.09 = 430.48/x
  3. Step 3: Cross multiply
    464.32x = 693.09 × 430.48
  4. Step 4: Simplify right side
    464.32x = 298,361.38
  5. Step 5: Solve for x
    x = 298,361.38/464.32
  6. Step 6: Final answer
    x = 642.58

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.