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Finding the Fourth Proportional to 570.63, 787.68 and 413.49

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Solution

The fourth proportional to 570.63, 787.68 and 413.49 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.63 : 787.68 = 413.49 : x
  2. Step 2: Convert to fraction form
    570.63/787.68 = 413.49/x
  3. Step 3: Cross multiply
    570.63x = 787.68 × 413.49
  4. Step 4: Simplify right side
    570.63x = 325,697.80
  5. Step 5: Solve for x
    x = 325,697.80/570.63
  6. Step 6: Final answer
    x = 570.77

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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.