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Finding the Fourth Proportional to 473.85, 710.20 and 242.02

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Solution

The fourth proportional to 473.85, 710.20 and 242.02 is: 362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 710.20 = 242.02 : x
  2. Step 2: Convert to fraction form
    473.85/710.20 = 242.02/x
  3. Step 3: Cross multiply
    473.85x = 710.20 × 242.02
  4. Step 4: Simplify right side
    473.85x = 171,883.79
  5. Step 5: Solve for x
    x = 171,883.79/473.85
  6. Step 6: Final answer
    x = 362.74

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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.