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Finding the Fourth Proportional to 569.61, 853.88 and 353.07

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Solution

The fourth proportional to 569.61, 853.88 and 353.07 is: 529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.61 : 853.88 = 353.07 : x
  2. Step 2: Convert to fraction form
    569.61/853.88 = 353.07/x
  3. Step 3: Cross multiply
    569.61x = 853.88 × 353.07
  4. Step 4: Simplify right side
    569.61x = 301,477.65
  5. Step 5: Solve for x
    x = 301,477.65/569.61
  6. Step 6: Final answer
    x = 529.27

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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.