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Finding the Fourth Proportional to 288.16, 429.14 and 275.68

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Solution

The fourth proportional to 288.16, 429.14 and 275.68 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 429.14 = 275.68 : x
  2. Step 2: Convert to fraction form
    288.16/429.14 = 275.68/x
  3. Step 3: Cross multiply
    288.16x = 429.14 × 275.68
  4. Step 4: Simplify right side
    288.16x = 118,305.32
  5. Step 5: Solve for x
    x = 118,305.32/288.16
  6. Step 6: Final answer
    x = 410.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.