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Finding the Fourth Proportional to 437.61, 603.59 and 313.41

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Solution

The fourth proportional to 437.61, 603.59 and 313.41 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.61 : 603.59 = 313.41 : x
  2. Step 2: Convert to fraction form
    437.61/603.59 = 313.41/x
  3. Step 3: Cross multiply
    437.61x = 603.59 × 313.41
  4. Step 4: Simplify right side
    437.61x = 189,169.57
  5. Step 5: Solve for x
    x = 189,169.57/437.61
  6. Step 6: Final answer
    x = 432.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.