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Finding the Fourth Proportional to 474.61, 711.94 and 150.00

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Solution

The fourth proportional to 474.61, 711.94 and 150.00 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.61 : 711.94 = 150.00 : x
  2. Step 2: Convert to fraction form
    474.61/711.94 = 150.00/x
  3. Step 3: Cross multiply
    474.61x = 711.94 × 150.00
  4. Step 4: Simplify right side
    474.61x = 106,792.24
  5. Step 5: Solve for x
    x = 106,792.24/474.61
  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.