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Finding the Fourth Proportional to 658.08, 907.68 and 511.02

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Solution

The fourth proportional to 658.08, 907.68 and 511.02 is: 704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.08 : 907.68 = 511.02 : x
  2. Step 2: Convert to fraction form
    658.08/907.68 = 511.02/x
  3. Step 3: Cross multiply
    658.08x = 907.68 × 511.02
  4. Step 4: Simplify right side
    658.08x = 463,842.63
  5. Step 5: Solve for x
    x = 463,842.63/658.08
  6. Step 6: Final answer
    x = 704.84

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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.