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Finding the Fourth Proportional to 430.42, 645.74 and 199.47

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Solution

The fourth proportional to 430.42, 645.74 and 199.47 is: 299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.42 : 645.74 = 199.47 : x
  2. Step 2: Convert to fraction form
    430.42/645.74 = 199.47/x
  3. Step 3: Cross multiply
    430.42x = 645.74 × 199.47
  4. Step 4: Simplify right side
    430.42x = 128,804.76
  5. Step 5: Solve for x
    x = 128,804.76/430.42
  6. Step 6: Final answer
    x = 299.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.