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Finding the Fourth Proportional to 464.01, 698.76 and 403.87

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Solution

The fourth proportional to 464.01, 698.76 and 403.87 is: 608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.01 : 698.76 = 403.87 : x
  2. Step 2: Convert to fraction form
    464.01/698.76 = 403.87/x
  3. Step 3: Cross multiply
    464.01x = 698.76 × 403.87
  4. Step 4: Simplify right side
    464.01x = 282,203.70
  5. Step 5: Solve for x
    x = 282,203.70/464.01
  6. Step 6: Final answer
    x = 608.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.