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Finding the Fourth Proportional to 473.92, 705.27 and 456.64

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Solution

The fourth proportional to 473.92, 705.27 and 456.64 is: 679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.92 : 705.27 = 456.64 : x
  2. Step 2: Convert to fraction form
    473.92/705.27 = 456.64/x
  3. Step 3: Cross multiply
    473.92x = 705.27 × 456.64
  4. Step 4: Simplify right side
    473.92x = 322,054.49
  5. Step 5: Solve for x
    x = 322,054.49/473.92
  6. Step 6: Final answer
    x = 679.55

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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.