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Finding the Fourth Proportional to 690.39, 953.52 and 468.96

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Solution

The fourth proportional to 690.39, 953.52 and 468.96 is: 647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.39 : 953.52 = 468.96 : x
  2. Step 2: Convert to fraction form
    690.39/953.52 = 468.96/x
  3. Step 3: Cross multiply
    690.39x = 953.52 × 468.96
  4. Step 4: Simplify right side
    690.39x = 447,162.74
  5. Step 5: Solve for x
    x = 447,162.74/690.39
  6. Step 6: Final answer
    x = 647.70

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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.