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Finding the Fourth Proportional to 595.01, 820.76 and 346.29

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Solution

The fourth proportional to 595.01, 820.76 and 346.29 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.01 : 820.76 = 346.29 : x
  2. Step 2: Convert to fraction form
    595.01/820.76 = 346.29/x
  3. Step 3: Cross multiply
    595.01x = 820.76 × 346.29
  4. Step 4: Simplify right side
    595.01x = 284,219.25
  5. Step 5: Solve for x
    x = 284,219.25/595.01
  6. Step 6: Final answer
    x = 477.68

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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.