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Finding the Fourth Proportional to 614.59, 919.72 and 476.76

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Solution

The fourth proportional to 614.59, 919.72 and 476.76 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.59 : 919.72 = 476.76 : x
  2. Step 2: Convert to fraction form
    614.59/919.72 = 476.76/x
  3. Step 3: Cross multiply
    614.59x = 919.72 × 476.76
  4. Step 4: Simplify right side
    614.59x = 438,485.71
  5. Step 5: Solve for x
    x = 438,485.71/614.59
  6. Step 6: Final answer
    x = 713.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.