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Finding the Fourth Proportional to 659.44, 910.31 and 502.10

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Solution

The fourth proportional to 659.44, 910.31 and 502.10 is: 693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.44 : 910.31 = 502.10 : x
  2. Step 2: Convert to fraction form
    659.44/910.31 = 502.10/x
  3. Step 3: Cross multiply
    659.44x = 910.31 × 502.10
  4. Step 4: Simplify right side
    659.44x = 457,066.65
  5. Step 5: Solve for x
    x = 457,066.65/659.44
  6. Step 6: Final answer
    x = 693.11

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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.