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Finding the Fourth Proportional to 740.16, 1,021.42 and 408.58

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Solution

The fourth proportional to 740.16, 1,021.42 and 408.58 is: 563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.16 : 1,021.42 = 408.58 : x
  2. Step 2: Convert to fraction form
    740.16/1,021.42 = 408.58/x
  3. Step 3: Cross multiply
    740.16x = 1,021.42 × 408.58
  4. Step 4: Simplify right side
    740.16x = 417,331.78
  5. Step 5: Solve for x
    x = 417,331.78/740.16
  6. Step 6: Final answer
    x = 563.84

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Why These Related Problems?

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