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Finding the Fourth Proportional to 573.51, 792.16 and 415.90

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Solution

The fourth proportional to 573.51, 792.16 and 415.90 is: 574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.51 : 792.16 = 415.90 : x
  2. Step 2: Convert to fraction form
    573.51/792.16 = 415.90/x
  3. Step 3: Cross multiply
    573.51x = 792.16 × 415.90
  4. Step 4: Simplify right side
    573.51x = 329,461.63
  5. Step 5: Solve for x
    x = 329,461.63/573.51
  6. Step 6: Final answer
    x = 574.46

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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.