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Finding the Fourth Proportional to 460.94, 691.11 and 152.69

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Solution

The fourth proportional to 460.94, 691.11 and 152.69 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.94 : 691.11 = 152.69 : x
  2. Step 2: Convert to fraction form
    460.94/691.11 = 152.69/x
  3. Step 3: Cross multiply
    460.94x = 691.11 × 152.69
  4. Step 4: Simplify right side
    460.94x = 105,525.59
  5. Step 5: Solve for x
    x = 105,525.59/460.94
  6. Step 6: Final answer
    x = 228.94

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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.