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Finding the Fourth Proportional to 503.58, 755.67 and 215.02

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Solution

The fourth proportional to 503.58, 755.67 and 215.02 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.58 : 755.67 = 215.02 : x
  2. Step 2: Convert to fraction form
    503.58/755.67 = 215.02/x
  3. Step 3: Cross multiply
    503.58x = 755.67 × 215.02
  4. Step 4: Simplify right side
    503.58x = 162,482.27
  5. Step 5: Solve for x
    x = 162,482.27/503.58
  6. Step 6: Final answer
    x = 322.65

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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.