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Finding the Fourth Proportional to 567.53, 783.03 and 357.81

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Solution

The fourth proportional to 567.53, 783.03 and 357.81 is: 493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.53 : 783.03 = 357.81 : x
  2. Step 2: Convert to fraction form
    567.53/783.03 = 357.81/x
  3. Step 3: Cross multiply
    567.53x = 783.03 × 357.81
  4. Step 4: Simplify right side
    567.53x = 280,175.96
  5. Step 5: Solve for x
    x = 280,175.96/567.53
  6. Step 6: Final answer
    x = 493.68

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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.