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Finding the Fourth Proportional to 573.06, 858.95 and 470.80

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Solution

The fourth proportional to 573.06, 858.95 and 470.80 is: 705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.06 : 858.95 = 470.80 : x
  2. Step 2: Convert to fraction form
    573.06/858.95 = 470.80/x
  3. Step 3: Cross multiply
    573.06x = 858.95 × 470.80
  4. Step 4: Simplify right side
    573.06x = 404,387.01
  5. Step 5: Solve for x
    x = 404,387.01/573.06
  6. Step 6: Final answer
    x = 705.66

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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.