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Finding the Fourth Proportional to 458.68, 688.02 and 202

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Solution

The fourth proportional to 458.68, 688.02 and 202 is: 303

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.68 : 688.02 = 202 : x
  2. Step 2: Convert to fraction form
    458.68/688.02 = 202/x
  3. Step 3: Cross multiply
    458.68x = 688.02 × 202
  4. Step 4: Simplify right side
    458.68x = 138,980.04
  5. Step 5: Solve for x
    x = 138,980.04/458.68
  6. Step 6: Final answer
    x = 303

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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.