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Finding the Fourth Proportional to 584.19, 803.34 and 500.94

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Solution

The fourth proportional to 584.19, 803.34 and 500.94 is: 688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.19 : 803.34 = 500.94 : x
  2. Step 2: Convert to fraction form
    584.19/803.34 = 500.94/x
  3. Step 3: Cross multiply
    584.19x = 803.34 × 500.94
  4. Step 4: Simplify right side
    584.19x = 402,425.14
  5. Step 5: Solve for x
    x = 402,425.14/584.19
  6. Step 6: Final answer
    x = 688.86

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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.