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Finding the Fourth Proportional to 460.42, 689.55 and 357.82

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Solution

The fourth proportional to 460.42, 689.55 and 357.82 is: 535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 689.55 = 357.82 : x
  2. Step 2: Convert to fraction form
    460.42/689.55 = 357.82/x
  3. Step 3: Cross multiply
    460.42x = 689.55 × 357.82
  4. Step 4: Simplify right side
    460.42x = 246,734.78
  5. Step 5: Solve for x
    x = 246,734.78/460.42
  6. Step 6: Final answer
    x = 535.89

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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.