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Finding the Fourth Proportional to 473.65, 653.34 and 305.82

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Solution

The fourth proportional to 473.65, 653.34 and 305.82 is: 421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.65 : 653.34 = 305.82 : x
  2. Step 2: Convert to fraction form
    473.65/653.34 = 305.82/x
  3. Step 3: Cross multiply
    473.65x = 653.34 × 305.82
  4. Step 4: Simplify right side
    473.65x = 199,803.29
  5. Step 5: Solve for x
    x = 199,803.29/473.65
  6. Step 6: Final answer
    x = 421.84

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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.