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Finding the Fourth Proportional to 472.89, 710.03 and 265.06

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Solution

The fourth proportional to 472.89, 710.03 and 265.06 is: 397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.89 : 710.03 = 265.06 : x
  2. Step 2: Convert to fraction form
    472.89/710.03 = 265.06/x
  3. Step 3: Cross multiply
    472.89x = 710.03 × 265.06
  4. Step 4: Simplify right side
    472.89x = 188,200.55
  5. Step 5: Solve for x
    x = 188,200.55/472.89
  6. Step 6: Final answer
    x = 397.98

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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.