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Finding the Fourth Proportional to 498.10, 746.99 and 345.01

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Solution

The fourth proportional to 498.10, 746.99 and 345.01 is: 517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.10 : 746.99 = 345.01 : x
  2. Step 2: Convert to fraction form
    498.10/746.99 = 345.01/x
  3. Step 3: Cross multiply
    498.10x = 746.99 × 345.01
  4. Step 4: Simplify right side
    498.10x = 257,718.12
  5. Step 5: Solve for x
    x = 257,718.12/498.10
  6. Step 6: Final answer
    x = 517.40

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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.