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Finding the Fourth Proportional to 590.22, 887.76 and 534.33

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Solution

The fourth proportional to 590.22, 887.76 and 534.33 is: 803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.22 : 887.76 = 534.33 : x
  2. Step 2: Convert to fraction form
    590.22/887.76 = 534.33/x
  3. Step 3: Cross multiply
    590.22x = 887.76 × 534.33
  4. Step 4: Simplify right side
    590.22x = 474,349.69
  5. Step 5: Solve for x
    x = 474,349.69/590.22
  6. Step 6: Final answer
    x = 803.69

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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.