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Finding the Fourth Proportional to 670.07, 924.95 and 422.11

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Solution

The fourth proportional to 670.07, 924.95 and 422.11 is: 582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.07 : 924.95 = 422.11 : x
  2. Step 2: Convert to fraction form
    670.07/924.95 = 422.11/x
  3. Step 3: Cross multiply
    670.07x = 924.95 × 422.11
  4. Step 4: Simplify right side
    670.07x = 390,427.70
  5. Step 5: Solve for x
    x = 390,427.70/670.07
  6. Step 6: Final answer
    x = 582.67

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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.