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Finding the Fourth Proportional to 646.30, 890.46 and 424.88

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Solution

The fourth proportional to 646.30, 890.46 and 424.88 is: 585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.30 : 890.46 = 424.88 : x
  2. Step 2: Convert to fraction form
    646.30/890.46 = 424.88/x
  3. Step 3: Cross multiply
    646.30x = 890.46 × 424.88
  4. Step 4: Simplify right side
    646.30x = 378,338.64
  5. Step 5: Solve for x
    x = 378,338.64/646.30
  6. Step 6: Final answer
    x = 585.39

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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.