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Finding the Fourth Proportional to 630.09, 869.59 and 420.19

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Solution

The fourth proportional to 630.09, 869.59 and 420.19 is: 579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.09 : 869.59 = 420.19 : x
  2. Step 2: Convert to fraction form
    630.09/869.59 = 420.19/x
  3. Step 3: Cross multiply
    630.09x = 869.59 × 420.19
  4. Step 4: Simplify right side
    630.09x = 365,388.96
  5. Step 5: Solve for x
    x = 365,388.96/630.09
  6. Step 6: Final answer
    x = 579.90

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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.