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Finding the Fourth Proportional to 705.36, 971.32 and 508.52

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Solution

The fourth proportional to 705.36, 971.32 and 508.52 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.36 : 971.32 = 508.52 : x
  2. Step 2: Convert to fraction form
    705.36/971.32 = 508.52/x
  3. Step 3: Cross multiply
    705.36x = 971.32 × 508.52
  4. Step 4: Simplify right side
    705.36x = 493,935.65
  5. Step 5: Solve for x
    x = 493,935.65/705.36
  6. Step 6: Final answer
    x = 700.26

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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.