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Finding the Fourth Proportional to 706.32, 975.20 and 458.28

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Solution

The fourth proportional to 706.32, 975.20 and 458.28 is: 632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.32 : 975.20 = 458.28 : x
  2. Step 2: Convert to fraction form
    706.32/975.20 = 458.28/x
  3. Step 3: Cross multiply
    706.32x = 975.20 × 458.28
  4. Step 4: Simplify right side
    706.32x = 446,914.66
  5. Step 5: Solve for x
    x = 446,914.66/706.32
  6. Step 6: Final answer
    x = 632.74

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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.