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Finding the Fourth Proportional to 437.13, 603.20 and 260.03

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Solution

The fourth proportional to 437.13, 603.20 and 260.03 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.13 : 603.20 = 260.03 : x
  2. Step 2: Convert to fraction form
    437.13/603.20 = 260.03/x
  3. Step 3: Cross multiply
    437.13x = 603.20 × 260.03
  4. Step 4: Simplify right side
    437.13x = 156,852.25
  5. Step 5: Solve for x
    x = 156,852.25/437.13
  6. Step 6: Final answer
    x = 358.82

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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.