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Finding the Fourth Proportional to 474.42, 710.24 and 291.24

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Solution

The fourth proportional to 474.42, 710.24 and 291.24 is: 436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.42 : 710.24 = 291.24 : x
  2. Step 2: Convert to fraction form
    474.42/710.24 = 291.24/x
  3. Step 3: Cross multiply
    474.42x = 710.24 × 291.24
  4. Step 4: Simplify right side
    474.42x = 206,850.30
  5. Step 5: Solve for x
    x = 206,850.30/474.42
  6. Step 6: Final answer
    x = 436.01

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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.