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Finding the Fourth Proportional to 474.65, 711.93 and 150.02

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Solution

The fourth proportional to 474.65, 711.93 and 150.02 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.65 : 711.93 = 150.02 : x
  2. Step 2: Convert to fraction form
    474.65/711.93 = 150.02/x
  3. Step 3: Cross multiply
    474.65x = 711.93 × 150.02
  4. Step 4: Simplify right side
    474.65x = 106,800.18
  5. Step 5: Solve for x
    x = 106,800.18/474.65
  6. Step 6: Final answer
    x = 225.01

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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.