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Finding the Fourth Proportional to 583.63, 805.98 and 362.67

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Solution

The fourth proportional to 583.63, 805.98 and 362.67 is: 500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.63 : 805.98 = 362.67 : x
  2. Step 2: Convert to fraction form
    583.63/805.98 = 362.67/x
  3. Step 3: Cross multiply
    583.63x = 805.98 × 362.67
  4. Step 4: Simplify right side
    583.63x = 292,304.77
  5. Step 5: Solve for x
    x = 292,304.77/583.63
  6. Step 6: Final answer
    x = 500.84

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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.