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Finding the Fourth Proportional to 584.64, 875.58 and 422.43

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Solution

The fourth proportional to 584.64, 875.58 and 422.43 is: 632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 875.58 = 422.43 : x
  2. Step 2: Convert to fraction form
    584.64/875.58 = 422.43/x
  3. Step 3: Cross multiply
    584.64x = 875.58 × 422.43
  4. Step 4: Simplify right side
    584.64x = 369,871.26
  5. Step 5: Solve for x
    x = 369,871.26/584.64
  6. Step 6: Final answer
    x = 632.65

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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.