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Finding the Fourth Proportional to 584.68, 875.34 and 456.04

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Solution

The fourth proportional to 584.68, 875.34 and 456.04 is: 682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.68 : 875.34 = 456.04 : x
  2. Step 2: Convert to fraction form
    584.68/875.34 = 456.04/x
  3. Step 3: Cross multiply
    584.68x = 875.34 × 456.04
  4. Step 4: Simplify right side
    584.68x = 399,190.05
  5. Step 5: Solve for x
    x = 399,190.05/584.68
  6. Step 6: Final answer
    x = 682.75

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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.