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Finding the Fourth Proportional to 760.39, 1,140.66 and 298.21

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Solution

The fourth proportional to 760.39, 1,140.66 and 298.21 is: 447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.39 : 1,140.66 = 298.21 : x
  2. Step 2: Convert to fraction form
    760.39/1,140.66 = 298.21/x
  3. Step 3: Cross multiply
    760.39x = 1,140.66 × 298.21
  4. Step 4: Simplify right side
    760.39x = 340,156.22
  5. Step 5: Solve for x
    x = 340,156.22/760.39
  6. Step 6: Final answer
    x = 447.34

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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.