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Finding the Fourth Proportional to 573.48, 858.16 and 496.71

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Solution

The fourth proportional to 573.48, 858.16 and 496.71 is: 743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 858.16 = 496.71 : x
  2. Step 2: Convert to fraction form
    573.48/858.16 = 496.71/x
  3. Step 3: Cross multiply
    573.48x = 858.16 × 496.71
  4. Step 4: Simplify right side
    573.48x = 426,256.65
  5. Step 5: Solve for x
    x = 426,256.65/573.48
  6. Step 6: Final answer
    x = 743.28

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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.