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Finding the Fourth Proportional to 582.36, 870.84 and 450.87

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Solution

The fourth proportional to 582.36, 870.84 and 450.87 is: 674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.36 : 870.84 = 450.87 : x
  2. Step 2: Convert to fraction form
    582.36/870.84 = 450.87/x
  3. Step 3: Cross multiply
    582.36x = 870.84 × 450.87
  4. Step 4: Simplify right side
    582.36x = 392,635.63
  5. Step 5: Solve for x
    x = 392,635.63/582.36
  6. Step 6: Final answer
    x = 674.21

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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.