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Finding the Fourth Proportional to 584.34, 807.35 and 460.94

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Solution

The fourth proportional to 584.34, 807.35 and 460.94 is: 636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.34 : 807.35 = 460.94 : x
  2. Step 2: Convert to fraction form
    584.34/807.35 = 460.94/x
  3. Step 3: Cross multiply
    584.34x = 807.35 × 460.94
  4. Step 4: Simplify right side
    584.34x = 372,137.02
  5. Step 5: Solve for x
    x = 372,137.02/584.34
  6. Step 6: Final answer
    x = 636.85

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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.