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Finding the Fourth Proportional to 501.30, 691.83 and 291.50

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Solution

The fourth proportional to 501.30, 691.83 and 291.50 is: 402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 691.83 = 291.50 : x
  2. Step 2: Convert to fraction form
    501.30/691.83 = 291.50/x
  3. Step 3: Cross multiply
    501.30x = 691.83 × 291.50
  4. Step 4: Simplify right side
    501.30x = 201,664.99
  5. Step 5: Solve for x
    x = 201,664.99/501.30
  6. Step 6: Final answer
    x = 402.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.