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Finding the Fourth Proportional to 508.44, 701.01 and 415.08

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Solution

The fourth proportional to 508.44, 701.01 and 415.08 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.44 : 701.01 = 415.08 : x
  2. Step 2: Convert to fraction form
    508.44/701.01 = 415.08/x
  3. Step 3: Cross multiply
    508.44x = 701.01 × 415.08
  4. Step 4: Simplify right side
    508.44x = 290,975.23
  5. Step 5: Solve for x
    x = 290,975.23/508.44
  6. Step 6: Final answer
    x = 572.29

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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.