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Finding the Fourth Proportional to 406.30, 606.69 and 356.51

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Solution

The fourth proportional to 406.30, 606.69 and 356.51 is: 532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.30 : 606.69 = 356.51 : x
  2. Step 2: Convert to fraction form
    406.30/606.69 = 356.51/x
  3. Step 3: Cross multiply
    406.30x = 606.69 × 356.51
  4. Step 4: Simplify right side
    406.30x = 216,292.57
  5. Step 5: Solve for x
    x = 216,292.57/406.30
  6. Step 6: Final answer
    x = 532.35

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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.