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Finding the Fourth Proportional to 584.59, 875.06 and 430.69

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Solution

The fourth proportional to 584.59, 875.06 and 430.69 is: 644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.59 : 875.06 = 430.69 : x
  2. Step 2: Convert to fraction form
    584.59/875.06 = 430.69/x
  3. Step 3: Cross multiply
    584.59x = 875.06 × 430.69
  4. Step 4: Simplify right side
    584.59x = 376,873.06
  5. Step 5: Solve for x
    x = 376,873.06/584.59
  6. Step 6: Final answer
    x = 644.68

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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.