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Finding the Fourth Proportional to 476.82, 714.51 and 283.86

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Solution

The fourth proportional to 476.82, 714.51 and 283.86 is: 425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.82 : 714.51 = 283.86 : x
  2. Step 2: Convert to fraction form
    476.82/714.51 = 283.86/x
  3. Step 3: Cross multiply
    476.82x = 714.51 × 283.86
  4. Step 4: Simplify right side
    476.82x = 202,820.81
  5. Step 5: Solve for x
    x = 202,820.81/476.82
  6. Step 6: Final answer
    x = 425.36

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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.