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Finding the Fourth Proportional to 460.42, 689.00 and 286.94

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Solution

The fourth proportional to 460.42, 689.00 and 286.94 is: 429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 689.00 = 286.94 : x
  2. Step 2: Convert to fraction form
    460.42/689.00 = 286.94/x
  3. Step 3: Cross multiply
    460.42x = 689.00 × 286.94
  4. Step 4: Simplify right side
    460.42x = 197,701.95
  5. Step 5: Solve for x
    x = 197,701.95/460.42
  6. Step 6: Final answer
    x = 429.40

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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.