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Finding the Fourth Proportional to 665.98, 916.66 and 469.14

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Solution

The fourth proportional to 665.98, 916.66 and 469.14 is: 645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.98 : 916.66 = 469.14 : x
  2. Step 2: Convert to fraction form
    665.98/916.66 = 469.14/x
  3. Step 3: Cross multiply
    665.98x = 916.66 × 469.14
  4. Step 4: Simplify right side
    665.98x = 430,041.87
  5. Step 5: Solve for x
    x = 430,041.87/665.98
  6. Step 6: Final answer
    x = 645.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.