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Finding the Fourth Proportional to 670.47, 924.36 and 483.38

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Solution

The fourth proportional to 670.47, 924.36 and 483.38 is: 666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.47 : 924.36 = 483.38 : x
  2. Step 2: Convert to fraction form
    670.47/924.36 = 483.38/x
  3. Step 3: Cross multiply
    670.47x = 924.36 × 483.38
  4. Step 4: Simplify right side
    670.47x = 446,812.52
  5. Step 5: Solve for x
    x = 446,812.52/670.47
  6. Step 6: Final answer
    x = 666.42

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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.