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Finding the Fourth Proportional to 583.34, 805.00 and 434.63

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Solution

The fourth proportional to 583.34, 805.00 and 434.63 is: 599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.34 : 805.00 = 434.63 : x
  2. Step 2: Convert to fraction form
    583.34/805.00 = 434.63/x
  3. Step 3: Cross multiply
    583.34x = 805.00 × 434.63
  4. Step 4: Simplify right side
    583.34x = 349,870.95
  5. Step 5: Solve for x
    x = 349,870.95/583.34
  6. Step 6: Final answer
    x = 599.78

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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.