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Finding the Fourth Proportional to 417.14, 575.90 and 277.45

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Solution

The fourth proportional to 417.14, 575.90 and 277.45 is: 383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.14 : 575.90 = 277.45 : x
  2. Step 2: Convert to fraction form
    417.14/575.90 = 277.45/x
  3. Step 3: Cross multiply
    417.14x = 575.90 × 277.45
  4. Step 4: Simplify right side
    417.14x = 159,783.46
  5. Step 5: Solve for x
    x = 159,783.46/417.14
  6. Step 6: Final answer
    x = 383.05

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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.