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Finding the Fourth Proportional to 457.59, 684.03 and 340.95

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Solution

The fourth proportional to 457.59, 684.03 and 340.95 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.59 : 684.03 = 340.95 : x
  2. Step 2: Convert to fraction form
    457.59/684.03 = 340.95/x
  3. Step 3: Cross multiply
    457.59x = 684.03 × 340.95
  4. Step 4: Simplify right side
    457.59x = 233,220.03
  5. Step 5: Solve for x
    x = 233,220.03/457.59
  6. Step 6: Final answer
    x = 509.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.