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Finding the Fourth Proportional to 413.48, 570.33 and 315.06

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Solution

The fourth proportional to 413.48, 570.33 and 315.06 is: 434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.48 : 570.33 = 315.06 : x
  2. Step 2: Convert to fraction form
    413.48/570.33 = 315.06/x
  3. Step 3: Cross multiply
    413.48x = 570.33 × 315.06
  4. Step 4: Simplify right side
    413.48x = 179,688.17
  5. Step 5: Solve for x
    x = 179,688.17/413.48
  6. Step 6: Final answer
    x = 434.58

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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.