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Finding the Fourth Proportional to 581.60, 869.36 and 452

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Solution

The fourth proportional to 581.60, 869.36 and 452 is: 675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 869.36 = 452 : x
  2. Step 2: Convert to fraction form
    581.60/869.36 = 452/x
  3. Step 3: Cross multiply
    581.60x = 869.36 × 452
  4. Step 4: Simplify right side
    581.60x = 392,950.72
  5. Step 5: Solve for x
    x = 392,950.72/581.60
  6. Step 6: Final answer
    x = 675.64

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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.