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Finding the Fourth Proportional to 597.16, 890.09 and 567.91

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Solution

The fourth proportional to 597.16, 890.09 and 567.91 is: 846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 890.09 = 567.91 : x
  2. Step 2: Convert to fraction form
    597.16/890.09 = 567.91/x
  3. Step 3: Cross multiply
    597.16x = 890.09 × 567.91
  4. Step 4: Simplify right side
    597.16x = 505,491.41
  5. Step 5: Solve for x
    x = 505,491.41/597.16
  6. Step 6: Final answer
    x = 846.50

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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.