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Finding the Fourth Proportional to 590.05, 883.11 and 534.64

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Solution

The fourth proportional to 590.05, 883.11 and 534.64 is: 800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.05 : 883.11 = 534.64 : x
  2. Step 2: Convert to fraction form
    590.05/883.11 = 534.64/x
  3. Step 3: Cross multiply
    590.05x = 883.11 × 534.64
  4. Step 4: Simplify right side
    590.05x = 472,145.93
  5. Step 5: Solve for x
    x = 472,145.93/590.05
  6. Step 6: Final answer
    x = 800.18

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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.