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Finding the Fourth Proportional to 365.25, 503.62 and 277.77

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Solution

The fourth proportional to 365.25, 503.62 and 277.77 is: 383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.25 : 503.62 = 277.77 : x
  2. Step 2: Convert to fraction form
    365.25/503.62 = 277.77/x
  3. Step 3: Cross multiply
    365.25x = 503.62 × 277.77
  4. Step 4: Simplify right side
    365.25x = 139,890.53
  5. Step 5: Solve for x
    x = 139,890.53/365.25
  6. Step 6: Final answer
    x = 383.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.