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Finding the Fourth Proportional to 760.34, 1,140.28 and 298.18

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Solution

The fourth proportional to 760.34, 1,140.28 and 298.18 is: 447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.34 : 1,140.28 = 298.18 : x
  2. Step 2: Convert to fraction form
    760.34/1,140.28 = 298.18/x
  3. Step 3: Cross multiply
    760.34x = 1,140.28 × 298.18
  4. Step 4: Simplify right side
    760.34x = 340,009.37
  5. Step 5: Solve for x
    x = 340,009.37/760.34
  6. Step 6: Final answer
    x = 447.18

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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.