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Finding the Fourth Proportional to 498.75, 688.23 and 302.25

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Solution

The fourth proportional to 498.75, 688.23 and 302.25 is: 417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.75 : 688.23 = 302.25 : x
  2. Step 2: Convert to fraction form
    498.75/688.23 = 302.25/x
  3. Step 3: Cross multiply
    498.75x = 688.23 × 302.25
  4. Step 4: Simplify right side
    498.75x = 208,017.52
  5. Step 5: Solve for x
    x = 208,017.52/498.75
  6. Step 6: Final answer
    x = 417.08

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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.