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Finding the Fourth Proportional to 387.10, 581.01 and 265.06

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Solution

The fourth proportional to 387.10, 581.01 and 265.06 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 581.01 = 265.06 : x
  2. Step 2: Convert to fraction form
    387.10/581.01 = 265.06/x
  3. Step 3: Cross multiply
    387.10x = 581.01 × 265.06
  4. Step 4: Simplify right side
    387.10x = 154,002.51
  5. Step 5: Solve for x
    x = 154,002.51/387.10
  6. Step 6: Final answer
    x = 397.84

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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.