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Finding the Fourth Proportional to 477.63, 714.74 and 282.74

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Solution

The fourth proportional to 477.63, 714.74 and 282.74 is: 423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 714.74 = 282.74 : x
  2. Step 2: Convert to fraction form
    477.63/714.74 = 282.74/x
  3. Step 3: Cross multiply
    477.63x = 714.74 × 282.74
  4. Step 4: Simplify right side
    477.63x = 202,080.60
  5. Step 5: Solve for x
    x = 202,080.60/477.63
  6. Step 6: Final answer
    x = 423.09

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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.