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Finding the Fourth Proportional to 333.36, 497.10 and 284.88

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Solution

The fourth proportional to 333.36, 497.10 and 284.88 is: 424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.36 : 497.10 = 284.88 : x
  2. Step 2: Convert to fraction form
    333.36/497.10 = 284.88/x
  3. Step 3: Cross multiply
    333.36x = 497.10 × 284.88
  4. Step 4: Simplify right side
    333.36x = 141,613.85
  5. Step 5: Solve for x
    x = 141,613.85/333.36
  6. Step 6: Final answer
    x = 424.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.