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Finding the Fourth Proportional to 473.18, 710.21 and 242.24

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Solution

The fourth proportional to 473.18, 710.21 and 242.24 is: 363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.18 : 710.21 = 242.24 : x
  2. Step 2: Convert to fraction form
    473.18/710.21 = 242.24/x
  3. Step 3: Cross multiply
    473.18x = 710.21 × 242.24
  4. Step 4: Simplify right side
    473.18x = 172,041.27
  5. Step 5: Solve for x
    x = 172,041.27/473.18
  6. Step 6: Final answer
    x = 363.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.