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Finding the Fourth Proportional to 637.53, 955.07 and 431.08

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Solution

The fourth proportional to 637.53, 955.07 and 431.08 is: 645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.53 : 955.07 = 431.08 : x
  2. Step 2: Convert to fraction form
    637.53/955.07 = 431.08/x
  3. Step 3: Cross multiply
    637.53x = 955.07 × 431.08
  4. Step 4: Simplify right side
    637.53x = 411,710.50
  5. Step 5: Solve for x
    x = 411,710.50/637.53
  6. Step 6: Final answer
    x = 645.80

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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.