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Finding the Fourth Proportional to 460.10, 688.35 and 298.10

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Solution

The fourth proportional to 460.10, 688.35 and 298.10 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 688.35 = 298.10 : x
  2. Step 2: Convert to fraction form
    460.10/688.35 = 298.10/x
  3. Step 3: Cross multiply
    460.10x = 688.35 × 298.10
  4. Step 4: Simplify right side
    460.10x = 205,197.14
  5. Step 5: Solve for x
    x = 205,197.14/460.10
  6. Step 6: Final answer
    x = 445.98

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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.