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Finding the Fourth Proportional to 866.59, 1,300.42 and 404.13

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Solution

The fourth proportional to 866.59, 1,300.42 and 404.13 is: 606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.59 : 1,300.42 = 404.13 : x
  2. Step 2: Convert to fraction form
    866.59/1,300.42 = 404.13/x
  3. Step 3: Cross multiply
    866.59x = 1,300.42 × 404.13
  4. Step 4: Simplify right side
    866.59x = 525,537.72
  5. Step 5: Solve for x
    x = 525,537.72/866.59
  6. Step 6: Final answer
    x = 606.45

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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.