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Finding the Fourth Proportional to 473.04, 708.24 and 357.13

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Solution

The fourth proportional to 473.04, 708.24 and 357.13 is: 534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.04 : 708.24 = 357.13 : x
  2. Step 2: Convert to fraction form
    473.04/708.24 = 357.13/x
  3. Step 3: Cross multiply
    473.04x = 708.24 × 357.13
  4. Step 4: Simplify right side
    473.04x = 252,933.75
  5. Step 5: Solve for x
    x = 252,933.75/473.04
  6. Step 6: Final answer
    x = 534.70

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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.