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Finding the Fourth Proportional to 567.47, 783.09 and 357.77

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Solution

The fourth proportional to 567.47, 783.09 and 357.77 is: 493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.47 : 783.09 = 357.77 : x
  2. Step 2: Convert to fraction form
    567.47/783.09 = 357.77/x
  3. Step 3: Cross multiply
    567.47x = 783.09 × 357.77
  4. Step 4: Simplify right side
    567.47x = 280,162.19
  5. Step 5: Solve for x
    x = 280,162.19/567.47
  6. Step 6: Final answer
    x = 493.71

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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.