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Finding the Fourth Proportional to 690.42, 952.29 and 457.86

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Solution

The fourth proportional to 690.42, 952.29 and 457.86 is: 631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.42 : 952.29 = 457.86 : x
  2. Step 2: Convert to fraction form
    690.42/952.29 = 457.86/x
  3. Step 3: Cross multiply
    690.42x = 952.29 × 457.86
  4. Step 4: Simplify right side
    690.42x = 436,015.50
  5. Step 5: Solve for x
    x = 436,015.50/690.42
  6. Step 6: Final answer
    x = 631.52

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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.