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Finding the Fourth Proportional to 433.60, 594.41 and 425.76

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Solution

The fourth proportional to 433.60, 594.41 and 425.76 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 594.41 = 425.76 : x
  2. Step 2: Convert to fraction form
    433.60/594.41 = 425.76/x
  3. Step 3: Cross multiply
    433.60x = 594.41 × 425.76
  4. Step 4: Simplify right side
    433.60x = 253,075.24
  5. Step 5: Solve for x
    x = 253,075.24/433.60
  6. Step 6: Final answer
    x = 583.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.