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Finding the Fourth Proportional to 434.99, 600.21 and 295.40

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Solution

The fourth proportional to 434.99, 600.21 and 295.40 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.99 : 600.21 = 295.40 : x
  2. Step 2: Convert to fraction form
    434.99/600.21 = 295.40/x
  3. Step 3: Cross multiply
    434.99x = 600.21 × 295.40
  4. Step 4: Simplify right side
    434.99x = 177,303.53
  5. Step 5: Solve for x
    x = 177,303.53/434.99
  6. Step 6: Final answer
    x = 407.60

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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.