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Finding the Fourth Proportional to 557.48, 834.81 and 465.95

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Solution

The fourth proportional to 557.48, 834.81 and 465.95 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 834.81 = 465.95 : x
  2. Step 2: Convert to fraction form
    557.48/834.81 = 465.95/x
  3. Step 3: Cross multiply
    557.48x = 834.81 × 465.95
  4. Step 4: Simplify right side
    557.48x = 388,980.06
  5. Step 5: Solve for x
    x = 388,980.06/557.48
  6. Step 6: Final answer
    x = 697.74

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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.