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Finding the Fourth Proportional to 645.40, 890.36 and 424.08

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Solution

The fourth proportional to 645.40, 890.36 and 424.08 is: 585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.40 : 890.36 = 424.08 : x
  2. Step 2: Convert to fraction form
    645.40/890.36 = 424.08/x
  3. Step 3: Cross multiply
    645.40x = 890.36 × 424.08
  4. Step 4: Simplify right side
    645.40x = 377,583.87
  5. Step 5: Solve for x
    x = 377,583.87/645.40
  6. Step 6: Final answer
    x = 585.04

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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.