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Finding the Fourth Proportional to 690.24, 952.52 and 450.48

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Solution

The fourth proportional to 690.24, 952.52 and 450.48 is: 621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.24 : 952.52 = 450.48 : x
  2. Step 2: Convert to fraction form
    690.24/952.52 = 450.48/x
  3. Step 3: Cross multiply
    690.24x = 952.52 × 450.48
  4. Step 4: Simplify right side
    690.24x = 429,088.96
  5. Step 5: Solve for x
    x = 429,088.96/690.24
  6. Step 6: Final answer
    x = 621.65

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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.