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Finding the Fourth Proportional to 573.18, 858.21 and 535.74

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Solution

The fourth proportional to 573.18, 858.21 and 535.74 is: 802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.18 : 858.21 = 535.74 : x
  2. Step 2: Convert to fraction form
    573.18/858.21 = 535.74/x
  3. Step 3: Cross multiply
    573.18x = 858.21 × 535.74
  4. Step 4: Simplify right side
    573.18x = 459,777.43
  5. Step 5: Solve for x
    x = 459,777.43/573.18
  6. Step 6: Final answer
    x = 802.15

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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.