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Finding the Fourth Proportional to 498.59, 751.62 and 465.14

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Solution

The fourth proportional to 498.59, 751.62 and 465.14 is: 701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.59 : 751.62 = 465.14 : x
  2. Step 2: Convert to fraction form
    498.59/751.62 = 465.14/x
  3. Step 3: Cross multiply
    498.59x = 751.62 × 465.14
  4. Step 4: Simplify right side
    498.59x = 349,605.38
  5. Step 5: Solve for x
    x = 349,605.38/498.59
  6. Step 6: Final answer
    x = 701.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.