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Finding the Fourth Proportional to 571.64, 858.98 and 500.20

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Solution

The fourth proportional to 571.64, 858.98 and 500.20 is: 751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.64 : 858.98 = 500.20 : x
  2. Step 2: Convert to fraction form
    571.64/858.98 = 500.20/x
  3. Step 3: Cross multiply
    571.64x = 858.98 × 500.20
  4. Step 4: Simplify right side
    571.64x = 429,661.80
  5. Step 5: Solve for x
    x = 429,661.80/571.64
  6. Step 6: Final answer
    x = 751.63

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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.