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Finding the Fourth Proportional to 333.42, 497.51 and 296.88

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Solution

The fourth proportional to 333.42, 497.51 and 296.88 is: 442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.42 : 497.51 = 296.88 : x
  2. Step 2: Convert to fraction form
    333.42/497.51 = 296.88/x
  3. Step 3: Cross multiply
    333.42x = 497.51 × 296.88
  4. Step 4: Simplify right side
    333.42x = 147,699.28
  5. Step 5: Solve for x
    x = 147,699.28/333.42
  6. Step 6: Final answer
    x = 442.98

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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.