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Finding the Fourth Proportional to 437.69, 603.36 and 313.62

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Solution

The fourth proportional to 437.69, 603.36 and 313.62 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.69 : 603.36 = 313.62 : x
  2. Step 2: Convert to fraction form
    437.69/603.36 = 313.62/x
  3. Step 3: Cross multiply
    437.69x = 603.36 × 313.62
  4. Step 4: Simplify right side
    437.69x = 189,225.76
  5. Step 5: Solve for x
    x = 189,225.76/437.69
  6. Step 6: Final answer
    x = 432.33

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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.