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Finding the Fourth Proportional to 670.68, 924.30 and 496.08

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Solution

The fourth proportional to 670.68, 924.30 and 496.08 is: 683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.68 : 924.30 = 496.08 : x
  2. Step 2: Convert to fraction form
    670.68/924.30 = 496.08/x
  3. Step 3: Cross multiply
    670.68x = 924.30 × 496.08
  4. Step 4: Simplify right side
    670.68x = 458,526.74
  5. Step 5: Solve for x
    x = 458,526.74/670.68
  6. Step 6: Final answer
    x = 683.67

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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.