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Finding the Fourth Proportional to 583.59, 874.62 and 428.79

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Solution

The fourth proportional to 583.59, 874.62 and 428.79 is: 642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.59 : 874.62 = 428.79 : x
  2. Step 2: Convert to fraction form
    583.59/874.62 = 428.79/x
  3. Step 3: Cross multiply
    583.59x = 874.62 × 428.79
  4. Step 4: Simplify right side
    583.59x = 375,026.17
  5. Step 5: Solve for x
    x = 375,026.17/583.59
  6. Step 6: Final answer
    x = 642.62

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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.