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Finding the Fourth Proportional to 581.52, 873.12 and 567.76

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Solution

The fourth proportional to 581.52, 873.12 and 567.76 is: 852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.52 : 873.12 = 567.76 : x
  2. Step 2: Convert to fraction form
    581.52/873.12 = 567.76/x
  3. Step 3: Cross multiply
    581.52x = 873.12 × 567.76
  4. Step 4: Simplify right side
    581.52x = 495,722.61
  5. Step 5: Solve for x
    x = 495,722.61/581.52
  6. Step 6: Final answer
    x = 852.46

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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.