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Finding the Fourth Proportional to 420.95, 627.60 and 410.13

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Solution

The fourth proportional to 420.95, 627.60 and 410.13 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.95 : 627.60 = 410.13 : x
  2. Step 2: Convert to fraction form
    420.95/627.60 = 410.13/x
  3. Step 3: Cross multiply
    420.95x = 627.60 × 410.13
  4. Step 4: Simplify right side
    420.95x = 257,396.82
  5. Step 5: Solve for x
    x = 257,396.82/420.95
  6. Step 6: Final answer
    x = 611.47

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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.