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Finding the Fourth Proportional to 473.53, 710.44 and 242.58

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Solution

The fourth proportional to 473.53, 710.44 and 242.58 is: 363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.53 : 710.44 = 242.58 : x
  2. Step 2: Convert to fraction form
    473.53/710.44 = 242.58/x
  3. Step 3: Cross multiply
    473.53x = 710.44 × 242.58
  4. Step 4: Simplify right side
    473.53x = 172,336.06
  5. Step 5: Solve for x
    x = 172,336.06/473.53
  6. Step 6: Final answer
    x = 363.94

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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.