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Finding the Fourth Proportional to 577.76, 795.93 and 477.76

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Solution

The fourth proportional to 577.76, 795.93 and 477.76 is: 658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 795.93 = 477.76 : x
  2. Step 2: Convert to fraction form
    577.76/795.93 = 477.76/x
  3. Step 3: Cross multiply
    577.76x = 795.93 × 477.76
  4. Step 4: Simplify right side
    577.76x = 380,261.13
  5. Step 5: Solve for x
    x = 380,261.13/577.76
  6. Step 6: Final answer
    x = 658.16

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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.