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Finding the Fourth Proportional to 592.54, 886.59 and 354.20

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Solution

The fourth proportional to 592.54, 886.59 and 354.20 is: 529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.54 : 886.59 = 354.20 : x
  2. Step 2: Convert to fraction form
    592.54/886.59 = 354.20/x
  3. Step 3: Cross multiply
    592.54x = 886.59 × 354.20
  4. Step 4: Simplify right side
    592.54x = 314,030.59
  5. Step 5: Solve for x
    x = 314,030.59/592.54
  6. Step 6: Final answer
    x = 529.97

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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.