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Finding the Fourth Proportional to 590.15, 813.76 and 413.30

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Solution

The fourth proportional to 590.15, 813.76 and 413.30 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.15 : 813.76 = 413.30 : x
  2. Step 2: Convert to fraction form
    590.15/813.76 = 413.30/x
  3. Step 3: Cross multiply
    590.15x = 813.76 × 413.30
  4. Step 4: Simplify right side
    590.15x = 336,328.01
  5. Step 5: Solve for x
    x = 336,328.01/590.15
  6. Step 6: Final answer
    x = 569.90

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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.