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Finding the Fourth Proportional to 740.30, 1,109.45 and 375.35

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Solution

The fourth proportional to 740.30, 1,109.45 and 375.35 is: 562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.30 : 1,109.45 = 375.35 : x
  2. Step 2: Convert to fraction form
    740.30/1,109.45 = 375.35/x
  3. Step 3: Cross multiply
    740.30x = 1,109.45 × 375.35
  4. Step 4: Simplify right side
    740.30x = 416,427.45
  5. Step 5: Solve for x
    x = 416,427.45/740.30
  6. Step 6: Final answer
    x = 562.52

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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.