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Finding the Fourth Proportional to 595.93, 893.40 and 413.68

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Solution

The fourth proportional to 595.93, 893.40 and 413.68 is: 620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.93 : 893.40 = 413.68 : x
  2. Step 2: Convert to fraction form
    595.93/893.40 = 413.68/x
  3. Step 3: Cross multiply
    595.93x = 893.40 × 413.68
  4. Step 4: Simplify right side
    595.93x = 369,581.71
  5. Step 5: Solve for x
    x = 369,581.71/595.93
  6. Step 6: Final answer
    x = 620.18

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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.