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Finding the Fourth Proportional to 458.07, 686.08 and 275.09

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Solution

The fourth proportional to 458.07, 686.08 and 275.09 is: 412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.07 : 686.08 = 275.09 : x
  2. Step 2: Convert to fraction form
    458.07/686.08 = 275.09/x
  3. Step 3: Cross multiply
    458.07x = 686.08 × 275.09
  4. Step 4: Simplify right side
    458.07x = 188,731.82
  5. Step 5: Solve for x
    x = 188,731.82/458.07
  6. Step 6: Final answer
    x = 412.01

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