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Finding the Fourth Proportional to 677.85, 935.52 and 383.13

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Solution

The fourth proportional to 677.85, 935.52 and 383.13 is: 528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.85 : 935.52 = 383.13 : x
  2. Step 2: Convert to fraction form
    677.85/935.52 = 383.13/x
  3. Step 3: Cross multiply
    677.85x = 935.52 × 383.13
  4. Step 4: Simplify right side
    677.85x = 358,425.78
  5. Step 5: Solve for x
    x = 358,425.78/677.85
  6. Step 6: Final answer
    x = 528.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.