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Finding the Fourth Proportional to 473.50, 652.71 and 356.86

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Solution

The fourth proportional to 473.50, 652.71 and 356.86 is: 491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.50 : 652.71 = 356.86 : x
  2. Step 2: Convert to fraction form
    473.50/652.71 = 356.86/x
  3. Step 3: Cross multiply
    473.50x = 652.71 × 356.86
  4. Step 4: Simplify right side
    473.50x = 232,926.09
  5. Step 5: Solve for x
    x = 232,926.09/473.50
  6. Step 6: Final answer
    x = 491.92

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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.