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Finding the Fourth Proportional to 567.02, 846.09 and 508.59

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Solution

The fourth proportional to 567.02, 846.09 and 508.59 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.02 : 846.09 = 508.59 : x
  2. Step 2: Convert to fraction form
    567.02/846.09 = 508.59/x
  3. Step 3: Cross multiply
    567.02x = 846.09 × 508.59
  4. Step 4: Simplify right side
    567.02x = 430,312.91
  5. Step 5: Solve for x
    x = 430,312.91/567.02
  6. Step 6: Final answer
    x = 758.91

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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.