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Finding the Fourth Proportional to 535.88, 805.22 and 456.64

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Solution

The fourth proportional to 535.88, 805.22 and 456.64 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.88 : 805.22 = 456.64 : x
  2. Step 2: Convert to fraction form
    535.88/805.22 = 456.64/x
  3. Step 3: Cross multiply
    535.88x = 805.22 × 456.64
  4. Step 4: Simplify right side
    535.88x = 367,695.66
  5. Step 5: Solve for x
    x = 367,695.66/535.88
  6. Step 6: Final answer
    x = 686.15

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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.