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Finding the Fourth Proportional to 583.78, 805.34 and 384.82

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Solution

The fourth proportional to 583.78, 805.34 and 384.82 is: 530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.78 : 805.34 = 384.82 : x
  2. Step 2: Convert to fraction form
    583.78/805.34 = 384.82/x
  3. Step 3: Cross multiply
    583.78x = 805.34 × 384.82
  4. Step 4: Simplify right side
    583.78x = 309,910.94
  5. Step 5: Solve for x
    x = 309,910.94/583.78
  6. Step 6: Final answer
    x = 530.87

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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.