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Finding the Fourth Proportional to 307.40, 462.77 and 235.58

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Solution

The fourth proportional to 307.40, 462.77 and 235.58 is: 354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.40 : 462.77 = 235.58 : x
  2. Step 2: Convert to fraction form
    307.40/462.77 = 235.58/x
  3. Step 3: Cross multiply
    307.40x = 462.77 × 235.58
  4. Step 4: Simplify right side
    307.40x = 109,019.36
  5. Step 5: Solve for x
    x = 109,019.36/307.40
  6. Step 6: Final answer
    x = 354.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.