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Finding the Fourth Proportional to 645.29, 890.64 and 365.68

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Solution

The fourth proportional to 645.29, 890.64 and 365.68 is: 504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.29 : 890.64 = 365.68 : x
  2. Step 2: Convert to fraction form
    645.29/890.64 = 365.68/x
  3. Step 3: Cross multiply
    645.29x = 890.64 × 365.68
  4. Step 4: Simplify right side
    645.29x = 325,689.24
  5. Step 5: Solve for x
    x = 325,689.24/645.29
  6. Step 6: Final answer
    x = 504.72

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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.