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Finding the Fourth Proportional to 971.42, 1,456.99 and 416.35

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Solution

The fourth proportional to 971.42, 1,456.99 and 416.35 is: 624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.42 : 1,456.99 = 416.35 : x
  2. Step 2: Convert to fraction form
    971.42/1,456.99 = 416.35/x
  3. Step 3: Cross multiply
    971.42x = 1,456.99 × 416.35
  4. Step 4: Simplify right side
    971.42x = 606,617.79
  5. Step 5: Solve for x
    x = 606,617.79/971.42
  6. Step 6: Final answer
    x = 624.46

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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.