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Finding the Fourth Proportional to 468.02, 704.76 and 347.12

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Solution

The fourth proportional to 468.02, 704.76 and 347.12 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 704.76 = 347.12 : x
  2. Step 2: Convert to fraction form
    468.02/704.76 = 347.12/x
  3. Step 3: Cross multiply
    468.02x = 704.76 × 347.12
  4. Step 4: Simplify right side
    468.02x = 244,636.29
  5. Step 5: Solve for x
    x = 244,636.29/468.02
  6. Step 6: Final answer
    x = 522.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.