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Finding the Fourth Proportional to 584.25, 875.17 and 290.88

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Solution

The fourth proportional to 584.25, 875.17 and 290.88 is: 435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.25 : 875.17 = 290.88 : x
  2. Step 2: Convert to fraction form
    584.25/875.17 = 290.88/x
  3. Step 3: Cross multiply
    584.25x = 875.17 × 290.88
  4. Step 4: Simplify right side
    584.25x = 254,569.45
  5. Step 5: Solve for x
    x = 254,569.45/584.25
  6. Step 6: Final answer
    x = 435.72

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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.