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Finding the Fourth Proportional to 567.49, 846.51 and 558.09

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Solution

The fourth proportional to 567.49, 846.51 and 558.09 is: 832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 846.51 = 558.09 : x
  2. Step 2: Convert to fraction form
    567.49/846.51 = 558.09/x
  3. Step 3: Cross multiply
    567.49x = 846.51 × 558.09
  4. Step 4: Simplify right side
    567.49x = 472,430.86
  5. Step 5: Solve for x
    x = 472,430.86/567.49
  6. Step 6: Final answer
    x = 832.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.