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Finding the Fourth Proportional to 390.12, 537.72 and 362.58

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Solution

The fourth proportional to 390.12, 537.72 and 362.58 is: 499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.12 : 537.72 = 362.58 : x
  2. Step 2: Convert to fraction form
    390.12/537.72 = 362.58/x
  3. Step 3: Cross multiply
    390.12x = 537.72 × 362.58
  4. Step 4: Simplify right side
    390.12x = 194,966.52
  5. Step 5: Solve for x
    x = 194,966.52/390.12
  6. Step 6: Final answer
    x = 499.76

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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.