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Finding the Fourth Proportional to 312.72, 430.88 and 225.24

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Solution

The fourth proportional to 312.72, 430.88 and 225.24 is: 310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.72 : 430.88 = 225.24 : x
  2. Step 2: Convert to fraction form
    312.72/430.88 = 225.24/x
  3. Step 3: Cross multiply
    312.72x = 430.88 × 225.24
  4. Step 4: Simplify right side
    312.72x = 97,051.41
  5. Step 5: Solve for x
    x = 97,051.41/312.72
  6. Step 6: Final answer
    x = 310.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.