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Finding the Fourth Proportional to 538.14, 805.94 and 460.66

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Solution

The fourth proportional to 538.14, 805.94 and 460.66 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 805.94 = 460.66 : x
  2. Step 2: Convert to fraction form
    538.14/805.94 = 460.66/x
  3. Step 3: Cross multiply
    538.14x = 805.94 × 460.66
  4. Step 4: Simplify right side
    538.14x = 371,264.32
  5. Step 5: Solve for x
    x = 371,264.32/538.14
  6. Step 6: Final answer
    x = 689.90

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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.