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Finding the Fourth Proportional to 585.76, 874.37 and 542.32

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Solution

The fourth proportional to 585.76, 874.37 and 542.32 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.76 : 874.37 = 542.32 : x
  2. Step 2: Convert to fraction form
    585.76/874.37 = 542.32/x
  3. Step 3: Cross multiply
    585.76x = 874.37 × 542.32
  4. Step 4: Simplify right side
    585.76x = 474,188.34
  5. Step 5: Solve for x
    x = 474,188.34/585.76
  6. Step 6: Final answer
    x = 809.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.