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Finding the Fourth Proportional to 585.68, 876.84 and 457.04

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Solution

The fourth proportional to 585.68, 876.84 and 457.04 is: 684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 876.84 = 457.04 : x
  2. Step 2: Convert to fraction form
    585.68/876.84 = 457.04/x
  3. Step 3: Cross multiply
    585.68x = 876.84 × 457.04
  4. Step 4: Simplify right side
    585.68x = 400,750.95
  5. Step 5: Solve for x
    x = 400,750.95/585.68
  6. Step 6: Final answer
    x = 684.25

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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.