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Finding the Fourth Proportional to 356.86, 534.15 and 288.58

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Solution

The fourth proportional to 356.86, 534.15 and 288.58 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.86 : 534.15 = 288.58 : x
  2. Step 2: Convert to fraction form
    356.86/534.15 = 288.58/x
  3. Step 3: Cross multiply
    356.86x = 534.15 × 288.58
  4. Step 4: Simplify right side
    356.86x = 154,145.01
  5. Step 5: Solve for x
    x = 154,145.01/356.86
  6. Step 6: Final answer
    x = 431.95

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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.