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Finding the Fourth Proportional to 581.84, 871.64 and 362

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Solution

The fourth proportional to 581.84, 871.64 and 362 is: 542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.84 : 871.64 = 362 : x
  2. Step 2: Convert to fraction form
    581.84/871.64 = 362/x
  3. Step 3: Cross multiply
    581.84x = 871.64 × 362
  4. Step 4: Simplify right side
    581.84x = 315,533.68
  5. Step 5: Solve for x
    x = 315,533.68/581.84
  6. Step 6: Final answer
    x = 542.30

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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.