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Finding the Fourth Proportional to 329.99, 492.57 and 291.07

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Solution

The fourth proportional to 329.99, 492.57 and 291.07 is: 434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.99 : 492.57 = 291.07 : x
  2. Step 2: Convert to fraction form
    329.99/492.57 = 291.07/x
  3. Step 3: Cross multiply
    329.99x = 492.57 × 291.07
  4. Step 4: Simplify right side
    329.99x = 143,372.35
  5. Step 5: Solve for x
    x = 143,372.35/329.99
  6. Step 6: Final answer
    x = 434.47

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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.