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Finding the Fourth Proportional to 560.49, 842.64 and 446.37

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Solution

The fourth proportional to 560.49, 842.64 and 446.37 is: 671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.49 : 842.64 = 446.37 : x
  2. Step 2: Convert to fraction form
    560.49/842.64 = 446.37/x
  3. Step 3: Cross multiply
    560.49x = 842.64 × 446.37
  4. Step 4: Simplify right side
    560.49x = 376,129.22
  5. Step 5: Solve for x
    x = 376,129.22/560.49
  6. Step 6: Final answer
    x = 671.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.