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Finding the Fourth Proportional to 573.12, 790.91 and 337.07

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Solution

The fourth proportional to 573.12, 790.91 and 337.07 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.12 : 790.91 = 337.07 : x
  2. Step 2: Convert to fraction form
    573.12/790.91 = 337.07/x
  3. Step 3: Cross multiply
    573.12x = 790.91 × 337.07
  4. Step 4: Simplify right side
    573.12x = 266,594.85
  5. Step 5: Solve for x
    x = 266,594.85/573.12
  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.