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Finding the Fourth Proportional to 647.24, 893.79 and 414.77

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Solution

The fourth proportional to 647.24, 893.79 and 414.77 is: 572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 893.79 = 414.77 : x
  2. Step 2: Convert to fraction form
    647.24/893.79 = 414.77/x
  3. Step 3: Cross multiply
    647.24x = 893.79 × 414.77
  4. Step 4: Simplify right side
    647.24x = 370,712.81
  5. Step 5: Solve for x
    x = 370,712.81/647.24
  6. Step 6: Final answer
    x = 572.76

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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.