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Finding the Fourth Proportional to 473.04, 653.02 and 298.46

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Solution

The fourth proportional to 473.04, 653.02 and 298.46 is: 412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.04 : 653.02 = 298.46 : x
  2. Step 2: Convert to fraction form
    473.04/653.02 = 298.46/x
  3. Step 3: Cross multiply
    473.04x = 653.02 × 298.46
  4. Step 4: Simplify right side
    473.04x = 194,900.35
  5. Step 5: Solve for x
    x = 194,900.35/473.04
  6. Step 6: Final answer
    x = 412.02

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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.