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Finding the Fourth Proportional to 476.25, 714.37 and 347.07

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Solution

The fourth proportional to 476.25, 714.37 and 347.07 is: 520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.25 : 714.37 = 347.07 : x
  2. Step 2: Convert to fraction form
    476.25/714.37 = 347.07/x
  3. Step 3: Cross multiply
    476.25x = 714.37 × 347.07
  4. Step 4: Simplify right side
    476.25x = 247,936.40
  5. Step 5: Solve for x
    x = 247,936.40/476.25
  6. Step 6: Final answer
    x = 520.60

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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.