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Finding the Fourth Proportional to 416.94, 577.85 and 410.70

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Solution

The fourth proportional to 416.94, 577.85 and 410.70 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.94 : 577.85 = 410.70 : x
  2. Step 2: Convert to fraction form
    416.94/577.85 = 410.70/x
  3. Step 3: Cross multiply
    416.94x = 577.85 × 410.70
  4. Step 4: Simplify right side
    416.94x = 237,320.94
  5. Step 5: Solve for x
    x = 237,320.94/416.94
  6. Step 6: Final answer
    x = 569.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.