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Finding the Fourth Proportional to 503.58, 754.65 and 286.71

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Solution

The fourth proportional to 503.58, 754.65 and 286.71 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.58 : 754.65 = 286.71 : x
  2. Step 2: Convert to fraction form
    503.58/754.65 = 286.71/x
  3. Step 3: Cross multiply
    503.58x = 754.65 × 286.71
  4. Step 4: Simplify right side
    503.58x = 216,365.70
  5. Step 5: Solve for x
    x = 216,365.70/503.58
  6. Step 6: Final answer
    x = 429.66

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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.