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Finding the Fourth Proportional to 590.20, 883.40 and 534.82

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Solution

The fourth proportional to 590.20, 883.40 and 534.82 is: 800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.20 : 883.40 = 534.82 : x
  2. Step 2: Convert to fraction form
    590.20/883.40 = 534.82/x
  3. Step 3: Cross multiply
    590.20x = 883.40 × 534.82
  4. Step 4: Simplify right side
    590.20x = 472,459.99
  5. Step 5: Solve for x
    x = 472,459.99/590.20
  6. Step 6: Final answer
    x = 800.51

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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.