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Finding the Fourth Proportional to 425.09, 586.25 and 277.77

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Solution

The fourth proportional to 425.09, 586.25 and 277.77 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.09 : 586.25 = 277.77 : x
  2. Step 2: Convert to fraction form
    425.09/586.25 = 277.77/x
  3. Step 3: Cross multiply
    425.09x = 586.25 × 277.77
  4. Step 4: Simplify right side
    425.09x = 162,841.27
  5. Step 5: Solve for x
    x = 162,841.27/425.09
  6. Step 6: Final answer
    x = 383.08

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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.