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Finding the Fourth Proportional to 670.38, 924.38 and 421.40

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Solution

The fourth proportional to 670.38, 924.38 and 421.40 is: 581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.38 : 924.38 = 421.40 : x
  2. Step 2: Convert to fraction form
    670.38/924.38 = 421.40/x
  3. Step 3: Cross multiply
    670.38x = 924.38 × 421.40
  4. Step 4: Simplify right side
    670.38x = 389,527.00
  5. Step 5: Solve for x
    x = 389,527.00/670.38
  6. Step 6: Final answer
    x = 581.05

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1.5x scale

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.