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Finding the Fourth Proportional to 514.02, 709.42 and 292.93

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Solution

The fourth proportional to 514.02, 709.42 and 292.93 is: 404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.02 : 709.42 = 292.93 : x
  2. Step 2: Convert to fraction form
    514.02/709.42 = 292.93/x
  3. Step 3: Cross multiply
    514.02x = 709.42 × 292.93
  4. Step 4: Simplify right side
    514.02x = 207,810.40
  5. Step 5: Solve for x
    x = 207,810.40/514.02
  6. Step 6: Final answer
    x = 404.28

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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.