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Finding the Fourth Proportional to 521.07, 783.02 and 277.77

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Solution

The fourth proportional to 521.07, 783.02 and 277.77 is: 417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.07 : 783.02 = 277.77 : x
  2. Step 2: Convert to fraction form
    521.07/783.02 = 277.77/x
  3. Step 3: Cross multiply
    521.07x = 783.02 × 277.77
  4. Step 4: Simplify right side
    521.07x = 217,499.47
  5. Step 5: Solve for x
    x = 217,499.47/521.07
  6. Step 6: Final answer
    x = 417.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.