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Finding the Fourth Proportional to 466.61, 698.76 and 364.05

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Solution

The fourth proportional to 466.61, 698.76 and 364.05 is: 545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.61 : 698.76 = 364.05 : x
  2. Step 2: Convert to fraction form
    466.61/698.76 = 364.05/x
  3. Step 3: Cross multiply
    466.61x = 698.76 × 364.05
  4. Step 4: Simplify right side
    466.61x = 254,383.58
  5. Step 5: Solve for x
    x = 254,383.58/466.61
  6. Step 6: Final answer
    x = 545.18

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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.