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Finding the Fourth Proportional to 705.52, 971.46 and 508.66

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Solution

The fourth proportional to 705.52, 971.46 and 508.66 is: 700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.52 : 971.46 = 508.66 : x
  2. Step 2: Convert to fraction form
    705.52/971.46 = 508.66/x
  3. Step 3: Cross multiply
    705.52x = 971.46 × 508.66
  4. Step 4: Simplify right side
    705.52x = 494,142.84
  5. Step 5: Solve for x
    x = 494,142.84/705.52
  6. Step 6: Final answer
    x = 700.40

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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.