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Finding the Fourth Proportional to 360.59, 538.65 and 305.91

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Solution

The fourth proportional to 360.59, 538.65 and 305.91 is: 456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.59 : 538.65 = 305.91 : x
  2. Step 2: Convert to fraction form
    360.59/538.65 = 305.91/x
  3. Step 3: Cross multiply
    360.59x = 538.65 × 305.91
  4. Step 4: Simplify right side
    360.59x = 164,778.42
  5. Step 5: Solve for x
    x = 164,778.42/360.59
  6. Step 6: Final answer
    x = 456.98

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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.