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Finding the Fourth Proportional to 569.34, 785.66 and 403.83

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Solution

The fourth proportional to 569.34, 785.66 and 403.83 is: 557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.34 : 785.66 = 403.83 : x
  2. Step 2: Convert to fraction form
    569.34/785.66 = 403.83/x
  3. Step 3: Cross multiply
    569.34x = 785.66 × 403.83
  4. Step 4: Simplify right side
    569.34x = 317,273.08
  5. Step 5: Solve for x
    x = 317,273.08/569.34
  6. Step 6: Final answer
    x = 557.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.