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Finding the Fourth Proportional to 567.91, 852.32 and 413.91

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Solution

The fourth proportional to 567.91, 852.32 and 413.91 is: 621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.91 : 852.32 = 413.91 : x
  2. Step 2: Convert to fraction form
    567.91/852.32 = 413.91/x
  3. Step 3: Cross multiply
    567.91x = 852.32 × 413.91
  4. Step 4: Simplify right side
    567.91x = 352,784.81
  5. Step 5: Solve for x
    x = 352,784.81/567.91
  6. Step 6: Final answer
    x = 621.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.