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Finding the Fourth Proportional to 478.09, 716.09 and 466.47

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Solution

The fourth proportional to 478.09, 716.09 and 466.47 is: 698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.09 : 716.09 = 466.47 : x
  2. Step 2: Convert to fraction form
    478.09/716.09 = 466.47/x
  3. Step 3: Cross multiply
    478.09x = 716.09 × 466.47
  4. Step 4: Simplify right side
    478.09x = 334,034.50
  5. Step 5: Solve for x
    x = 334,034.50/478.09
  6. Step 6: Final answer
    x = 698.69

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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.