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Finding the Fourth Proportional to 437.72, 603.59 and 313.34

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Solution

The fourth proportional to 437.72, 603.59 and 313.34 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.72 : 603.59 = 313.34 : x
  2. Step 2: Convert to fraction form
    437.72/603.59 = 313.34/x
  3. Step 3: Cross multiply
    437.72x = 603.59 × 313.34
  4. Step 4: Simplify right side
    437.72x = 189,124.31
  5. Step 5: Solve for x
    x = 189,124.31/437.72
  6. Step 6: Final answer
    x = 432.07

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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.