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Finding the Fourth Proportional to 560.64, 773.63 and 413.35

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Solution

The fourth proportional to 560.64, 773.63 and 413.35 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.64 : 773.63 = 413.35 : x
  2. Step 2: Convert to fraction form
    560.64/773.63 = 413.35/x
  3. Step 3: Cross multiply
    560.64x = 773.63 × 413.35
  4. Step 4: Simplify right side
    560.64x = 319,777.89
  5. Step 5: Solve for x
    x = 319,777.89/560.64
  6. Step 6: Final answer
    x = 570.39

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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.