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Finding the Fourth Proportional to 740.42, 1,021.68 and 408.84

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Solution

The fourth proportional to 740.42, 1,021.68 and 408.84 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.42 : 1,021.68 = 408.84 : x
  2. Step 2: Convert to fraction form
    740.42/1,021.68 = 408.84/x
  3. Step 3: Cross multiply
    740.42x = 1,021.68 × 408.84
  4. Step 4: Simplify right side
    740.42x = 417,703.65
  5. Step 5: Solve for x
    x = 417,703.65/740.42
  6. Step 6: Final answer
    x = 564.14

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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.