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Finding the Fourth Proportional to 334.35, 497.99 and 317.00

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Solution

The fourth proportional to 334.35, 497.99 and 317.00 is: 472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.35 : 497.99 = 317.00 : x
  2. Step 2: Convert to fraction form
    334.35/497.99 = 317.00/x
  3. Step 3: Cross multiply
    334.35x = 497.99 × 317.00
  4. Step 4: Simplify right side
    334.35x = 157,858.76
  5. Step 5: Solve for x
    x = 157,858.76/334.35
  6. Step 6: Final answer
    x = 472.14

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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.