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Finding the Fourth Proportional to 473.04, 709.60 and 242.16

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Solution

The fourth proportional to 473.04, 709.60 and 242.16 is: 363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.04 : 709.60 = 242.16 : x
  2. Step 2: Convert to fraction form
    473.04/709.60 = 242.16/x
  3. Step 3: Cross multiply
    473.04x = 709.60 × 242.16
  4. Step 4: Simplify right side
    473.04x = 171,836.74
  5. Step 5: Solve for x
    x = 171,836.74/473.04
  6. Step 6: Final answer
    x = 363.26

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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.