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Finding the Fourth Proportional to 567.58, 847.07 and 505.16

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Solution

The fourth proportional to 567.58, 847.07 and 505.16 is: 753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.58 : 847.07 = 505.16 : x
  2. Step 2: Convert to fraction form
    567.58/847.07 = 505.16/x
  3. Step 3: Cross multiply
    567.58x = 847.07 × 505.16
  4. Step 4: Simplify right side
    567.58x = 427,905.88
  5. Step 5: Solve for x
    x = 427,905.88/567.58
  6. Step 6: Final answer
    x = 753.91

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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.