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Finding the Fourth Proportional to 670.52, 924.59 and 408.35

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Solution

The fourth proportional to 670.52, 924.59 and 408.35 is: 563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.52 : 924.59 = 408.35 : x
  2. Step 2: Convert to fraction form
    670.52/924.59 = 408.35/x
  3. Step 3: Cross multiply
    670.52x = 924.59 × 408.35
  4. Step 4: Simplify right side
    670.52x = 377,552.72
  5. Step 5: Solve for x
    x = 377,552.72/670.52
  6. Step 6: Final answer
    x = 563.08

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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.