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Finding the Fourth Proportional to 530.96, 732.95 and 413.25

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Solution

The fourth proportional to 530.96, 732.95 and 413.25 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 732.95 = 413.25 : x
  2. Step 2: Convert to fraction form
    530.96/732.95 = 413.25/x
  3. Step 3: Cross multiply
    530.96x = 732.95 × 413.25
  4. Step 4: Simplify right side
    530.96x = 302,892.45
  5. Step 5: Solve for x
    x = 302,892.45/530.96
  6. Step 6: Final answer
    x = 570.47

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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.