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Finding the Fourth Proportional to 583.49, 805.11 and 472.77

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Solution

The fourth proportional to 583.49, 805.11 and 472.77 is: 652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.49 : 805.11 = 472.77 : x
  2. Step 2: Convert to fraction form
    583.49/805.11 = 472.77/x
  3. Step 3: Cross multiply
    583.49x = 805.11 × 472.77
  4. Step 4: Simplify right side
    583.49x = 380,630.08
  5. Step 5: Solve for x
    x = 380,630.08/583.49
  6. Step 6: Final answer
    x = 652.34

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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.