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Finding the Fourth Proportional to 472, 651.36 and 265

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Solution

The fourth proportional to 472, 651.36 and 265 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472 : 651.36 = 265 : x
  2. Step 2: Convert to fraction form
    472/651.36 = 265/x
  3. Step 3: Cross multiply
    472x = 651.36 × 265
  4. Step 4: Simplify right side
    472x = 172,610.40
  5. Step 5: Solve for x
    x = 172,610.40/472
  6. Step 6: Final answer
    x = 365.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.