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Finding the Fourth Proportional to 437.09, 603.11 and 260.06

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Solution

The fourth proportional to 437.09, 603.11 and 260.06 is: 358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.09 : 603.11 = 260.06 : x
  2. Step 2: Convert to fraction form
    437.09/603.11 = 260.06/x
  3. Step 3: Cross multiply
    437.09x = 603.11 × 260.06
  4. Step 4: Simplify right side
    437.09x = 156,842.42
  5. Step 5: Solve for x
    x = 156,842.42/437.09
  6. Step 6: Final answer
    x = 358.84

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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.