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Finding the Fourth Proportional to 530.96, 732.74 and 298.08

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Solution

The fourth proportional to 530.96, 732.74 and 298.08 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 732.74 = 298.08 : x
  2. Step 2: Convert to fraction form
    530.96/732.74 = 298.08/x
  3. Step 3: Cross multiply
    530.96x = 732.74 × 298.08
  4. Step 4: Simplify right side
    530.96x = 218,413.65
  5. Step 5: Solve for x
    x = 218,413.65/530.96
  6. Step 6: Final answer
    x = 411.36

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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.