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Finding the Fourth Proportional to 287.10, 429.88 and 228.93

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Solution

The fourth proportional to 287.10, 429.88 and 228.93 is: 342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.10 : 429.88 = 228.93 : x
  2. Step 2: Convert to fraction form
    287.10/429.88 = 228.93/x
  3. Step 3: Cross multiply
    287.10x = 429.88 × 228.93
  4. Step 4: Simplify right side
    287.10x = 98,412.43
  5. Step 5: Solve for x
    x = 98,412.43/287.10
  6. Step 6: Final answer
    x = 342.79

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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.