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Finding the Fourth Proportional to 740.42, 1,110.75 and 370.24

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Solution

The fourth proportional to 740.42, 1,110.75 and 370.24 is: 555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.42 : 1,110.75 = 370.24 : x
  2. Step 2: Convert to fraction form
    740.42/1,110.75 = 370.24/x
  3. Step 3: Cross multiply
    740.42x = 1,110.75 × 370.24
  4. Step 4: Simplify right side
    740.42x = 411,244.08
  5. Step 5: Solve for x
    x = 411,244.08/740.42
  6. Step 6: Final answer
    x = 555.42

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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.