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Finding the Fourth Proportional to 615.25, 848.76 and 416.15

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Solution

The fourth proportional to 615.25, 848.76 and 416.15 is: 574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.25 : 848.76 = 416.15 : x
  2. Step 2: Convert to fraction form
    615.25/848.76 = 416.15/x
  3. Step 3: Cross multiply
    615.25x = 848.76 × 416.15
  4. Step 4: Simplify right side
    615.25x = 353,211.55
  5. Step 5: Solve for x
    x = 353,211.55/615.25
  6. Step 6: Final answer
    x = 574.09

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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.