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Finding the Fourth Proportional to 462.16, 637.84 and 287.40

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Solution

The fourth proportional to 462.16, 637.84 and 287.40 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 637.84 = 287.40 : x
  2. Step 2: Convert to fraction form
    462.16/637.84 = 287.40/x
  3. Step 3: Cross multiply
    462.16x = 637.84 × 287.40
  4. Step 4: Simplify right side
    462.16x = 183,315.22
  5. Step 5: Solve for x
    x = 183,315.22/462.16
  6. Step 6: Final answer
    x = 396.65

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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.