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Finding the Fourth Proportional to 750.30, 1,035.42 and 418.74

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Solution

The fourth proportional to 750.30, 1,035.42 and 418.74 is: 577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.30 : 1,035.42 = 418.74 : x
  2. Step 2: Convert to fraction form
    750.30/1,035.42 = 418.74/x
  3. Step 3: Cross multiply
    750.30x = 1,035.42 × 418.74
  4. Step 4: Simplify right side
    750.30x = 433,566.32
  5. Step 5: Solve for x
    x = 433,566.32/750.30
  6. Step 6: Final answer
    x = 577.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.