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Finding the Fourth Proportional to 594.68, 820.26 and 454.82

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Solution

The fourth proportional to 594.68, 820.26 and 454.82 is: 627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.68 : 820.26 = 454.82 : x
  2. Step 2: Convert to fraction form
    594.68/820.26 = 454.82/x
  3. Step 3: Cross multiply
    594.68x = 820.26 × 454.82
  4. Step 4: Simplify right side
    594.68x = 373,066.55
  5. Step 5: Solve for x
    x = 373,066.55/594.68
  6. Step 6: Final answer
    x = 627.35

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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.