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Finding the Fourth Proportional to 340.01, 469.01 and 296.45

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Solution

The fourth proportional to 340.01, 469.01 and 296.45 is: 408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.01 : 469.01 = 296.45 : x
  2. Step 2: Convert to fraction form
    340.01/469.01 = 296.45/x
  3. Step 3: Cross multiply
    340.01x = 469.01 × 296.45
  4. Step 4: Simplify right side
    340.01x = 139,036.53
  5. Step 5: Solve for x
    x = 139,036.53/340.01
  6. Step 6: Final answer
    x = 408.92

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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.