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Finding the Fourth Proportional to 592.61, 887.84 and 349.00

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Solution

The fourth proportional to 592.61, 887.84 and 349.00 is: 522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.61 : 887.84 = 349.00 : x
  2. Step 2: Convert to fraction form
    592.61/887.84 = 349.00/x
  3. Step 3: Cross multiply
    592.61x = 887.84 × 349.00
  4. Step 4: Simplify right side
    592.61x = 309,854.81
  5. Step 5: Solve for x
    x = 309,854.81/592.61
  6. Step 6: Final answer
    x = 522.87

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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.