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Finding the Fourth Proportional to 474.40, 711.64 and 149.72

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Solution

The fourth proportional to 474.40, 711.64 and 149.72 is: 224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.40 : 711.64 = 149.72 : x
  2. Step 2: Convert to fraction form
    474.40/711.64 = 149.72/x
  3. Step 3: Cross multiply
    474.40x = 711.64 × 149.72
  4. Step 4: Simplify right side
    474.40x = 106,547.12
  5. Step 5: Solve for x
    x = 106,547.12/474.40
  6. Step 6: Final answer
    x = 224.60

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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.