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Finding the Fourth Proportional to 500.58, 692.55 and 413.10

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Solution

The fourth proportional to 500.58, 692.55 and 413.10 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.58 : 692.55 = 413.10 : x
  2. Step 2: Convert to fraction form
    500.58/692.55 = 413.10/x
  3. Step 3: Cross multiply
    500.58x = 692.55 × 413.10
  4. Step 4: Simplify right side
    500.58x = 286,092.41
  5. Step 5: Solve for x
    x = 286,092.41/500.58
  6. Step 6: Final answer
    x = 571.52

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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.