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Finding the Fourth Proportional to 663.48, 915.06 and 430.20

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Solution

The fourth proportional to 663.48, 915.06 and 430.20 is: 593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.48 : 915.06 = 430.20 : x
  2. Step 2: Convert to fraction form
    663.48/915.06 = 430.20/x
  3. Step 3: Cross multiply
    663.48x = 915.06 × 430.20
  4. Step 4: Simplify right side
    663.48x = 393,658.81
  5. Step 5: Solve for x
    x = 393,658.81/663.48
  6. Step 6: Final answer
    x = 593.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.