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Finding the Fourth Proportional to 579.84, 798.98 and 578.76

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Solution

The fourth proportional to 579.84, 798.98 and 578.76 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 798.98 = 578.76 : x
  2. Step 2: Convert to fraction form
    579.84/798.98 = 578.76/x
  3. Step 3: Cross multiply
    579.84x = 798.98 × 578.76
  4. Step 4: Simplify right side
    579.84x = 462,414.77
  5. Step 5: Solve for x
    x = 462,414.77/579.84
  6. Step 6: Final answer
    x = 797.49

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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.