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Finding the Fourth Proportional to 472.67, 652.56 and 315.53

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Solution

The fourth proportional to 472.67, 652.56 and 315.53 is: 435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.67 : 652.56 = 315.53 : x
  2. Step 2: Convert to fraction form
    472.67/652.56 = 315.53/x
  3. Step 3: Cross multiply
    472.67x = 652.56 × 315.53
  4. Step 4: Simplify right side
    472.67x = 205,900.26
  5. Step 5: Solve for x
    x = 205,900.26/472.67
  6. Step 6: Final answer
    x = 435.61

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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.