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Finding the Fourth Proportional to 287.36, 430.56 and 229.76

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Solution

The fourth proportional to 287.36, 430.56 and 229.76 is: 344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.36 : 430.56 = 229.76 : x
  2. Step 2: Convert to fraction form
    287.36/430.56 = 229.76/x
  3. Step 3: Cross multiply
    287.36x = 430.56 × 229.76
  4. Step 4: Simplify right side
    287.36x = 98,925.47
  5. Step 5: Solve for x
    x = 98,925.47/287.36
  6. Step 6: Final answer
    x = 344.26

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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.