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Finding the Fourth Proportional to 645.07, 890.13 and 365.32

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Solution

The fourth proportional to 645.07, 890.13 and 365.32 is: 504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.07 : 890.13 = 365.32 : x
  2. Step 2: Convert to fraction form
    645.07/890.13 = 365.32/x
  3. Step 3: Cross multiply
    645.07x = 890.13 × 365.32
  4. Step 4: Simplify right side
    645.07x = 325,182.29
  5. Step 5: Solve for x
    x = 325,182.29/645.07
  6. Step 6: Final answer
    x = 504.10

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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.