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Finding the Fourth Proportional to 333.15, 497.26 and 312.63

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Solution

The fourth proportional to 333.15, 497.26 and 312.63 is: 466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.15 : 497.26 = 312.63 : x
  2. Step 2: Convert to fraction form
    333.15/497.26 = 312.63/x
  3. Step 3: Cross multiply
    333.15x = 497.26 × 312.63
  4. Step 4: Simplify right side
    333.15x = 155,457.61
  5. Step 5: Solve for x
    x = 155,457.61/333.15
  6. Step 6: Final answer
    x = 466.63

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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.