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Finding the Fourth Proportional to 585.92, 875.44 and 457.76

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Solution

The fourth proportional to 585.92, 875.44 and 457.76 is: 683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.92 : 875.44 = 457.76 : x
  2. Step 2: Convert to fraction form
    585.92/875.44 = 457.76/x
  3. Step 3: Cross multiply
    585.92x = 875.44 × 457.76
  4. Step 4: Simplify right side
    585.92x = 400,741.41
  5. Step 5: Solve for x
    x = 400,741.41/585.92
  6. Step 6: Final answer
    x = 683.95

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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.