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Finding the Fourth Proportional to 476.91, 715.41 and 152.31

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Solution

The fourth proportional to 476.91, 715.41 and 152.31 is: 228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.91 : 715.41 = 152.31 : x
  2. Step 2: Convert to fraction form
    476.91/715.41 = 152.31/x
  3. Step 3: Cross multiply
    476.91x = 715.41 × 152.31
  4. Step 4: Simplify right side
    476.91x = 108,964.10
  5. Step 5: Solve for x
    x = 108,964.10/476.91
  6. Step 6: Final answer
    x = 228.48

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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.