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Finding the Fourth Proportional to 534.60, 797.58 and 466.26

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Solution

The fourth proportional to 534.60, 797.58 and 466.26 is: 695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.60 : 797.58 = 466.26 : x
  2. Step 2: Convert to fraction form
    534.60/797.58 = 466.26/x
  3. Step 3: Cross multiply
    534.60x = 797.58 × 466.26
  4. Step 4: Simplify right side
    534.60x = 371,876.66
  5. Step 5: Solve for x
    x = 371,876.66/534.60
  6. Step 6: Final answer
    x = 695.62

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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.