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Finding the Fourth Proportional to 932.84, 1,399.52 and 384.74

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Solution

The fourth proportional to 932.84, 1,399.52 and 384.74 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.84 : 1,399.52 = 384.74 : x
  2. Step 2: Convert to fraction form
    932.84/1,399.52 = 384.74/x
  3. Step 3: Cross multiply
    932.84x = 1,399.52 × 384.74
  4. Step 4: Simplify right side
    932.84x = 538,445.29
  5. Step 5: Solve for x
    x = 538,445.29/932.84
  6. Step 6: Final answer
    x = 577.21

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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.