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Finding the Fourth Proportional to 529.80, 729.63 and 413.16

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Solution

The fourth proportional to 529.80, 729.63 and 413.16 is: 569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.80 : 729.63 = 413.16 : x
  2. Step 2: Convert to fraction form
    529.80/729.63 = 413.16/x
  3. Step 3: Cross multiply
    529.80x = 729.63 × 413.16
  4. Step 4: Simplify right side
    529.80x = 301,453.93
  5. Step 5: Solve for x
    x = 301,453.93/529.80
  6. Step 6: Final answer
    x = 569.00

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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.