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Finding the Fourth Proportional to 473.58, 653.64 and 287.08

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Solution

The fourth proportional to 473.58, 653.64 and 287.08 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.58 : 653.64 = 287.08 : x
  2. Step 2: Convert to fraction form
    473.58/653.64 = 287.08/x
  3. Step 3: Cross multiply
    473.58x = 653.64 × 287.08
  4. Step 4: Simplify right side
    473.58x = 187,644.26
  5. Step 5: Solve for x
    x = 187,644.26/473.58
  6. Step 6: Final answer
    x = 396.23

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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.