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Finding the Fourth Proportional to 569.90, 854.72 and 387.24

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Solution

The fourth proportional to 569.90, 854.72 and 387.24 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 854.72 = 387.24 : x
  2. Step 2: Convert to fraction form
    569.90/854.72 = 387.24/x
  3. Step 3: Cross multiply
    569.90x = 854.72 × 387.24
  4. Step 4: Simplify right side
    569.90x = 330,981.77
  5. Step 5: Solve for x
    x = 330,981.77/569.90
  6. Step 6: Final answer
    x = 580.77

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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.