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Finding the Fourth Proportional to 595.33, 820.92 and 455.47

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Solution

The fourth proportional to 595.33, 820.92 and 455.47 is: 628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.33 : 820.92 = 455.47 : x
  2. Step 2: Convert to fraction form
    595.33/820.92 = 455.47/x
  3. Step 3: Cross multiply
    595.33x = 820.92 × 455.47
  4. Step 4: Simplify right side
    595.33x = 373,904.43
  5. Step 5: Solve for x
    x = 373,904.43/595.33
  6. Step 6: Final answer
    x = 628.06

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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.