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Finding the Fourth Proportional to 305.60, 457.84 and 175.46

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Solution

The fourth proportional to 305.60, 457.84 and 175.46 is: 262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 457.84 = 175.46 : x
  2. Step 2: Convert to fraction form
    305.60/457.84 = 175.46/x
  3. Step 3: Cross multiply
    305.60x = 457.84 × 175.46
  4. Step 4: Simplify right side
    305.60x = 80,332.61
  5. Step 5: Solve for x
    x = 80,332.61/305.60
  6. Step 6: Final answer
    x = 262.87

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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.