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Finding the Fourth Proportional to 473.56, 652.16 and 406.64

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Solution

The fourth proportional to 473.56, 652.16 and 406.64 is: 560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 652.16 = 406.64 : x
  2. Step 2: Convert to fraction form
    473.56/652.16 = 406.64/x
  3. Step 3: Cross multiply
    473.56x = 652.16 × 406.64
  4. Step 4: Simplify right side
    473.56x = 265,192.31
  5. Step 5: Solve for x
    x = 265,192.31/473.56
  6. Step 6: Final answer
    x = 560.00

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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.