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Finding the Fourth Proportional to 473.64, 653.46 and 299.08

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Solution

The fourth proportional to 473.64, 653.46 and 299.08 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 653.46 = 299.08 : x
  2. Step 2: Convert to fraction form
    473.64/653.46 = 299.08/x
  3. Step 3: Cross multiply
    473.64x = 653.46 × 299.08
  4. Step 4: Simplify right side
    473.64x = 195,436.82
  5. Step 5: Solve for x
    x = 195,436.82/473.64
  6. Step 6: Final answer
    x = 412.63

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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.