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Finding the Fourth Proportional to 677.84, 935.46 and 383.13

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Solution

The fourth proportional to 677.84, 935.46 and 383.13 is: 528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 935.46 = 383.13 : x
  2. Step 2: Convert to fraction form
    677.84/935.46 = 383.13/x
  3. Step 3: Cross multiply
    677.84x = 935.46 × 383.13
  4. Step 4: Simplify right side
    677.84x = 358,402.79
  5. Step 5: Solve for x
    x = 358,402.79/677.84
  6. Step 6: Final answer
    x = 528.75

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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.