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Finding the Fourth Proportional to 685.68, 946.24 and 476.16

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Solution

The fourth proportional to 685.68, 946.24 and 476.16 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 946.24 = 476.16 : x
  2. Step 2: Convert to fraction form
    685.68/946.24 = 476.16/x
  3. Step 3: Cross multiply
    685.68x = 946.24 × 476.16
  4. Step 4: Simplify right side
    685.68x = 450,561.64
  5. Step 5: Solve for x
    x = 450,561.64/685.68
  6. Step 6: Final answer
    x = 657.10

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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.