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Finding the Fourth Proportional to 460.80, 689.62 and 287.40

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Solution

The fourth proportional to 460.80, 689.62 and 287.40 is: 430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 689.62 = 287.40 : x
  2. Step 2: Convert to fraction form
    460.80/689.62 = 287.40/x
  3. Step 3: Cross multiply
    460.80x = 689.62 × 287.40
  4. Step 4: Simplify right side
    460.80x = 198,196.79
  5. Step 5: Solve for x
    x = 198,196.79/460.80
  6. Step 6: Final answer
    x = 430.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.