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Finding the Fourth Proportional to 591.84, 886.68 and 578.88

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Solution

The fourth proportional to 591.84, 886.68 and 578.88 is: 867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.84 : 886.68 = 578.88 : x
  2. Step 2: Convert to fraction form
    591.84/886.68 = 578.88/x
  3. Step 3: Cross multiply
    591.84x = 886.68 × 578.88
  4. Step 4: Simplify right side
    591.84x = 513,281.32
  5. Step 5: Solve for x
    x = 513,281.32/591.84
  6. Step 6: Final answer
    x = 867.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.