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Finding the Fourth Proportional to 614.78, 922.40 and 499.51

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Solution

The fourth proportional to 614.78, 922.40 and 499.51 is: 749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.78 : 922.40 = 499.51 : x
  2. Step 2: Convert to fraction form
    614.78/922.40 = 499.51/x
  3. Step 3: Cross multiply
    614.78x = 922.40 × 499.51
  4. Step 4: Simplify right side
    614.78x = 460,746.97
  5. Step 5: Solve for x
    x = 460,746.97/614.78
  6. Step 6: Final answer
    x = 749.45

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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.