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Finding the Fourth Proportional to 580.98, 866.35 and 500.34

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Solution

The fourth proportional to 580.98, 866.35 and 500.34 is: 746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.98 : 866.35 = 500.34 : x
  2. Step 2: Convert to fraction form
    580.98/866.35 = 500.34/x
  3. Step 3: Cross multiply
    580.98x = 866.35 × 500.34
  4. Step 4: Simplify right side
    580.98x = 433,467.06
  5. Step 5: Solve for x
    x = 433,467.06/580.98
  6. Step 6: Final answer
    x = 746.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.