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Finding the Fourth Proportional to 583.64, 804.91 and 450.87

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Solution

The fourth proportional to 583.64, 804.91 and 450.87 is: 621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.64 : 804.91 = 450.87 : x
  2. Step 2: Convert to fraction form
    583.64/804.91 = 450.87/x
  3. Step 3: Cross multiply
    583.64x = 804.91 × 450.87
  4. Step 4: Simplify right side
    583.64x = 362,909.77
  5. Step 5: Solve for x
    x = 362,909.77/583.64
  6. Step 6: Final answer
    x = 621.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.