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Finding the Fourth Proportional to 590.62, 886.12 and 356.62

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Solution

The fourth proportional to 590.62, 886.12 and 356.62 is: 535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.62 : 886.12 = 356.62 : x
  2. Step 2: Convert to fraction form
    590.62/886.12 = 356.62/x
  3. Step 3: Cross multiply
    590.62x = 886.12 × 356.62
  4. Step 4: Simplify right side
    590.62x = 316,008.11
  5. Step 5: Solve for x
    x = 316,008.11/590.62
  6. Step 6: Final answer
    x = 535.04

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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.