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Finding the Fourth Proportional to 575.95, 864.16 and 210.77

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Solution

The fourth proportional to 575.95, 864.16 and 210.77 is: 316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.95 : 864.16 = 210.77 : x
  2. Step 2: Convert to fraction form
    575.95/864.16 = 210.77/x
  3. Step 3: Cross multiply
    575.95x = 864.16 × 210.77
  4. Step 4: Simplify right side
    575.95x = 182,139.00
  5. Step 5: Solve for x
    x = 182,139.00/575.95
  6. Step 6: Final answer
    x = 316.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.