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Finding the Fourth Proportional to 458.42, 687.70 and 253.08

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Solution

The fourth proportional to 458.42, 687.70 and 253.08 is: 379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 687.70 = 253.08 : x
  2. Step 2: Convert to fraction form
    458.42/687.70 = 253.08/x
  3. Step 3: Cross multiply
    458.42x = 687.70 × 253.08
  4. Step 4: Simplify right side
    458.42x = 174,043.12
  5. Step 5: Solve for x
    x = 174,043.12/458.42
  6. Step 6: Final answer
    x = 379.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.