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Finding the Fourth Proportional to 302.77, 417.47 and 248.72

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Solution

The fourth proportional to 302.77, 417.47 and 248.72 is: 342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.77 : 417.47 = 248.72 : x
  2. Step 2: Convert to fraction form
    302.77/417.47 = 248.72/x
  3. Step 3: Cross multiply
    302.77x = 417.47 × 248.72
  4. Step 4: Simplify right side
    302.77x = 103,831.67
  5. Step 5: Solve for x
    x = 103,831.67/302.77
  6. Step 6: Final answer
    x = 342.94

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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.