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Finding the Fourth Proportional to 462.45, 637.83 and 296.67

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Solution

The fourth proportional to 462.45, 637.83 and 296.67 is: 409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 637.83 = 296.67 : x
  2. Step 2: Convert to fraction form
    462.45/637.83 = 296.67/x
  3. Step 3: Cross multiply
    462.45x = 637.83 × 296.67
  4. Step 4: Simplify right side
    462.45x = 189,225.03
  5. Step 5: Solve for x
    x = 189,225.03/462.45
  6. Step 6: Final answer
    x = 409.18

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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.