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Finding the Fourth Proportional to 577.64, 865.98 and 474.68

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Solution

The fourth proportional to 577.64, 865.98 and 474.68 is: 711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.64 : 865.98 = 474.68 : x
  2. Step 2: Convert to fraction form
    577.64/865.98 = 474.68/x
  3. Step 3: Cross multiply
    577.64x = 865.98 × 474.68
  4. Step 4: Simplify right side
    577.64x = 411,063.39
  5. Step 5: Solve for x
    x = 411,063.39/577.64
  6. Step 6: Final answer
    x = 711.63

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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.