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Finding the Fourth Proportional to 573.18, 790.71 and 340.14

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Solution

The fourth proportional to 573.18, 790.71 and 340.14 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.18 : 790.71 = 340.14 : x
  2. Step 2: Convert to fraction form
    573.18/790.71 = 340.14/x
  3. Step 3: Cross multiply
    573.18x = 790.71 × 340.14
  4. Step 4: Simplify right side
    573.18x = 268,952.10
  5. Step 5: Solve for x
    x = 268,952.10/573.18
  6. Step 6: Final answer
    x = 469.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.