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Finding the Fourth Proportional to 315.77, 435.86 and 211.01

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Solution

The fourth proportional to 315.77, 435.86 and 211.01 is: 291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.77 : 435.86 = 211.01 : x
  2. Step 2: Convert to fraction form
    315.77/435.86 = 211.01/x
  3. Step 3: Cross multiply
    315.77x = 435.86 × 211.01
  4. Step 4: Simplify right side
    315.77x = 91,967.58
  5. Step 5: Solve for x
    x = 91,967.58/315.77
  6. Step 6: Final answer
    x = 291.25

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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.