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Finding the Fourth Proportional to 514.02, 766.16 and 497.15

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Solution

The fourth proportional to 514.02, 766.16 and 497.15 is: 741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.02 : 766.16 = 497.15 : x
  2. Step 2: Convert to fraction form
    514.02/766.16 = 497.15/x
  3. Step 3: Cross multiply
    514.02x = 766.16 × 497.15
  4. Step 4: Simplify right side
    514.02x = 380,890.13
  5. Step 5: Solve for x
    x = 380,890.13/514.02
  6. Step 6: Final answer
    x = 741.00

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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.