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Finding the Fourth Proportional to 566.19, 845.54 and 474.19

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Solution

The fourth proportional to 566.19, 845.54 and 474.19 is: 708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 845.54 = 474.19 : x
  2. Step 2: Convert to fraction form
    566.19/845.54 = 474.19/x
  3. Step 3: Cross multiply
    566.19x = 845.54 × 474.19
  4. Step 4: Simplify right side
    566.19x = 400,943.91
  5. Step 5: Solve for x
    x = 400,943.91/566.19
  6. Step 6: Final answer
    x = 708.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.