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Finding the Fourth Proportional to 670.34, 924.85 and 390.52

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Solution

The fourth proportional to 670.34, 924.85 and 390.52 is: 538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.34 : 924.85 = 390.52 : x
  2. Step 2: Convert to fraction form
    670.34/924.85 = 390.52/x
  3. Step 3: Cross multiply
    670.34x = 924.85 × 390.52
  4. Step 4: Simplify right side
    670.34x = 361,172.42
  5. Step 5: Solve for x
    x = 361,172.42/670.34
  6. Step 6: Final answer
    x = 538.79

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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.