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Finding the Fourth Proportional to 631.04, 946.19 and 265.63

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Solution

The fourth proportional to 631.04, 946.19 and 265.63 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.04 : 946.19 = 265.63 : x
  2. Step 2: Convert to fraction form
    631.04/946.19 = 265.63/x
  3. Step 3: Cross multiply
    631.04x = 946.19 × 265.63
  4. Step 4: Simplify right side
    631.04x = 251,332.76
  5. Step 5: Solve for x
    x = 251,332.76/631.04
  6. Step 6: Final answer
    x = 398.28

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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.