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Finding the Fourth Proportional to 573.35, 790.07 and 415.71

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Solution

The fourth proportional to 573.35, 790.07 and 415.71 is: 572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.35 : 790.07 = 415.71 : x
  2. Step 2: Convert to fraction form
    573.35/790.07 = 415.71/x
  3. Step 3: Cross multiply
    573.35x = 790.07 × 415.71
  4. Step 4: Simplify right side
    573.35x = 328,440.00
  5. Step 5: Solve for x
    x = 328,440.00/573.35
  6. Step 6: Final answer
    x = 572.84

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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.