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Finding the Fourth Proportional to 307.08, 458.25 and 253.08

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Solution

The fourth proportional to 307.08, 458.25 and 253.08 is: 377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 458.25 = 253.08 : x
  2. Step 2: Convert to fraction form
    307.08/458.25 = 253.08/x
  3. Step 3: Cross multiply
    307.08x = 458.25 × 253.08
  4. Step 4: Simplify right side
    307.08x = 115,970.35
  5. Step 5: Solve for x
    x = 115,970.35/307.08
  6. Step 6: Final answer
    x = 377.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.