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Finding the Fourth Proportional to 577.22, 794.72 and 510.72

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Solution

The fourth proportional to 577.22, 794.72 and 510.72 is: 703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 794.72 = 510.72 : x
  2. Step 2: Convert to fraction form
    577.22/794.72 = 510.72/x
  3. Step 3: Cross multiply
    577.22x = 794.72 × 510.72
  4. Step 4: Simplify right side
    577.22x = 405,876.84
  5. Step 5: Solve for x
    x = 405,876.84/577.22
  6. Step 6: Final answer
    x = 703.16

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