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Finding the Fourth Proportional to 573.21, 790.88 and 337.14

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Solution

The fourth proportional to 573.21, 790.88 and 337.14 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.21 : 790.88 = 337.14 : x
  2. Step 2: Convert to fraction form
    573.21/790.88 = 337.14/x
  3. Step 3: Cross multiply
    573.21x = 790.88 × 337.14
  4. Step 4: Simplify right side
    573.21x = 266,635.60
  5. Step 5: Solve for x
    x = 266,635.60/573.21
  6. Step 6: Final answer
    x = 465.16

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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.