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Finding the Fourth Proportional to 501.21, 691.56 and 291.40

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Solution

The fourth proportional to 501.21, 691.56 and 291.40 is: 402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.21 : 691.56 = 291.40 : x
  2. Step 2: Convert to fraction form
    501.21/691.56 = 291.40/x
  3. Step 3: Cross multiply
    501.21x = 691.56 × 291.40
  4. Step 4: Simplify right side
    501.21x = 201,518.86
  5. Step 5: Solve for x
    x = 201,518.86/501.21
  6. Step 6: Final answer
    x = 402.06

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