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Finding the Fourth Proportional to 473.46, 652.74 and 406.92

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Solution

The fourth proportional to 473.46, 652.74 and 406.92 is: 561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.46 : 652.74 = 406.92 : x
  2. Step 2: Convert to fraction form
    473.46/652.74 = 406.92/x
  3. Step 3: Cross multiply
    473.46x = 652.74 × 406.92
  4. Step 4: Simplify right side
    473.46x = 265,612.96
  5. Step 5: Solve for x
    x = 265,612.96/473.46
  6. Step 6: Final answer
    x = 561.00

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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.