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Finding the Fourth Proportional to 561.74, 838.35 and 529.74

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Solution

The fourth proportional to 561.74, 838.35 and 529.74 is: 790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.74 : 838.35 = 529.74 : x
  2. Step 2: Convert to fraction form
    561.74/838.35 = 529.74/x
  3. Step 3: Cross multiply
    561.74x = 838.35 × 529.74
  4. Step 4: Simplify right side
    561.74x = 444,107.53
  5. Step 5: Solve for x
    x = 444,107.53/561.74
  6. Step 6: Final answer
    x = 790.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.