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Finding the Fourth Proportional to 581.68, 875.80 and 438.64

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Solution

The fourth proportional to 581.68, 875.80 and 438.64 is: 660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 875.80 = 438.64 : x
  2. Step 2: Convert to fraction form
    581.68/875.80 = 438.64/x
  3. Step 3: Cross multiply
    581.68x = 875.80 × 438.64
  4. Step 4: Simplify right side
    581.68x = 384,160.91
  5. Step 5: Solve for x
    x = 384,160.91/581.68
  6. Step 6: Final answer
    x = 660.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.