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Finding the Fourth Proportional to 472.48, 652.68 and 399.58

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Solution

The fourth proportional to 472.48, 652.68 and 399.58 is: 551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 652.68 = 399.58 : x
  2. Step 2: Convert to fraction form
    472.48/652.68 = 399.58/x
  3. Step 3: Cross multiply
    472.48x = 652.68 × 399.58
  4. Step 4: Simplify right side
    472.48x = 260,801.04
  5. Step 5: Solve for x
    x = 260,801.04/472.48
  6. Step 6: Final answer
    x = 551.98

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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.