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Finding the Fourth Proportional to 690.54, 952.98 and 457.26

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Solution

The fourth proportional to 690.54, 952.98 and 457.26 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 952.98 = 457.26 : x
  2. Step 2: Convert to fraction form
    690.54/952.98 = 457.26/x
  3. Step 3: Cross multiply
    690.54x = 952.98 × 457.26
  4. Step 4: Simplify right side
    690.54x = 435,759.63
  5. Step 5: Solve for x
    x = 435,759.63/690.54
  6. Step 6: Final answer
    x = 631.04

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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.