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Finding the Fourth Proportional to 659.72, 910.78 and 502.58

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Solution

The fourth proportional to 659.72, 910.78 and 502.58 is: 693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.72 : 910.78 = 502.58 : x
  2. Step 2: Convert to fraction form
    659.72/910.78 = 502.58/x
  3. Step 3: Cross multiply
    659.72x = 910.78 × 502.58
  4. Step 4: Simplify right side
    659.72x = 457,739.81
  5. Step 5: Solve for x
    x = 457,739.81/659.72
  6. Step 6: Final answer
    x = 693.84

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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.