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Finding the Fourth Proportional to 740.24, 1,110.42 and 307.40

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Solution

The fourth proportional to 740.24, 1,110.42 and 307.40 is: 461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.24 : 1,110.42 = 307.40 : x
  2. Step 2: Convert to fraction form
    740.24/1,110.42 = 307.40/x
  3. Step 3: Cross multiply
    740.24x = 1,110.42 × 307.40
  4. Step 4: Simplify right side
    740.24x = 341,343.11
  5. Step 5: Solve for x
    x = 341,343.11/740.24
  6. Step 6: Final answer
    x = 461.12

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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.