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Finding the Fourth Proportional to 760.30, 1,140.83 and 349.41

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Solution

The fourth proportional to 760.30, 1,140.83 and 349.41 is: 524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.30 : 1,140.83 = 349.41 : x
  2. Step 2: Convert to fraction form
    760.30/1,140.83 = 349.41/x
  3. Step 3: Cross multiply
    760.30x = 1,140.83 × 349.41
  4. Step 4: Simplify right side
    760.30x = 398,623.22
  5. Step 5: Solve for x
    x = 398,623.22/760.30
  6. Step 6: Final answer
    x = 524.30

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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.