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Finding the Fourth Proportional to 498.77, 687.93 and 302.03

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Solution

The fourth proportional to 498.77, 687.93 and 302.03 is: 416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.77 : 687.93 = 302.03 : x
  2. Step 2: Convert to fraction form
    498.77/687.93 = 302.03/x
  3. Step 3: Cross multiply
    498.77x = 687.93 × 302.03
  4. Step 4: Simplify right side
    498.77x = 207,775.50
  5. Step 5: Solve for x
    x = 207,775.50/498.77
  6. Step 6: Final answer
    x = 416.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.