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Finding the Fourth Proportional to 473.32, 709.02 and 412.52

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Solution

The fourth proportional to 473.32, 709.02 and 412.52 is: 617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.32 : 709.02 = 412.52 : x
  2. Step 2: Convert to fraction form
    473.32/709.02 = 412.52/x
  3. Step 3: Cross multiply
    473.32x = 709.02 × 412.52
  4. Step 4: Simplify right side
    473.32x = 292,484.93
  5. Step 5: Solve for x
    x = 292,484.93/473.32
  6. Step 6: Final answer
    x = 617.94

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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.