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Finding the Fourth Proportional to 567.86, 783.06 and 417.80

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Solution

The fourth proportional to 567.86, 783.06 and 417.80 is: 576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.86 : 783.06 = 417.80 : x
  2. Step 2: Convert to fraction form
    567.86/783.06 = 417.80/x
  3. Step 3: Cross multiply
    567.86x = 783.06 × 417.80
  4. Step 4: Simplify right side
    567.86x = 327,162.47
  5. Step 5: Solve for x
    x = 327,162.47/567.86
  6. Step 6: Final answer
    x = 576.13

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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.