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Finding the Fourth Proportional to 449.82, 670.31 and 435.12

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Solution

The fourth proportional to 449.82, 670.31 and 435.12 is: 648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.82 : 670.31 = 435.12 : x
  2. Step 2: Convert to fraction form
    449.82/670.31 = 435.12/x
  3. Step 3: Cross multiply
    449.82x = 670.31 × 435.12
  4. Step 4: Simplify right side
    449.82x = 291,663.11
  5. Step 5: Solve for x
    x = 291,663.11/449.82
  6. Step 6: Final answer
    x = 648.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.