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Finding the Fourth Proportional to 607.66, 838.64 and 345.71

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Solution

The fourth proportional to 607.66, 838.64 and 345.71 is: 477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.66 : 838.64 = 345.71 : x
  2. Step 2: Convert to fraction form
    607.66/838.64 = 345.71/x
  3. Step 3: Cross multiply
    607.66x = 838.64 × 345.71
  4. Step 4: Simplify right side
    607.66x = 289,926.23
  5. Step 5: Solve for x
    x = 289,926.23/607.66
  6. Step 6: Final answer
    x = 477.12

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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.