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Finding the Fourth Proportional to 447.30, 670.98 and 284.76

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Solution

The fourth proportional to 447.30, 670.98 and 284.76 is: 427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.30 : 670.98 = 284.76 : x
  2. Step 2: Convert to fraction form
    447.30/670.98 = 284.76/x
  3. Step 3: Cross multiply
    447.30x = 670.98 × 284.76
  4. Step 4: Simplify right side
    447.30x = 191,068.26
  5. Step 5: Solve for x
    x = 191,068.26/447.30
  6. Step 6: Final answer
    x = 427.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.