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Finding the Fourth Proportional to 690.68, 953.46 and 469.64

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Solution

The fourth proportional to 690.68, 953.46 and 469.64 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.68 : 953.46 = 469.64 : x
  2. Step 2: Convert to fraction form
    690.68/953.46 = 469.64/x
  3. Step 3: Cross multiply
    690.68x = 953.46 × 469.64
  4. Step 4: Simplify right side
    690.68x = 447,782.95
  5. Step 5: Solve for x
    x = 447,782.95/690.68
  6. Step 6: Final answer
    x = 648.32

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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.