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Finding the Fourth Proportional to 333.68, 497.58 and 310.60

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Solution

The fourth proportional to 333.68, 497.58 and 310.60 is: 463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.68 : 497.58 = 310.60 : x
  2. Step 2: Convert to fraction form
    333.68/497.58 = 310.60/x
  3. Step 3: Cross multiply
    333.68x = 497.58 × 310.60
  4. Step 4: Simplify right side
    333.68x = 154,545.86
  5. Step 5: Solve for x
    x = 154,545.86/333.68
  6. Step 6: Final answer
    x = 463.16

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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.