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Finding the Fourth Proportional to 561.93, 840.66 and 474.28

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Solution

The fourth proportional to 561.93, 840.66 and 474.28 is: 709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.93 : 840.66 = 474.28 : x
  2. Step 2: Convert to fraction form
    561.93/840.66 = 474.28/x
  3. Step 3: Cross multiply
    561.93x = 840.66 × 474.28
  4. Step 4: Simplify right side
    561.93x = 398,708.22
  5. Step 5: Solve for x
    x = 398,708.22/561.93
  6. Step 6: Final answer
    x = 709.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.