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Finding the Fourth Proportional to 616.53, 850.69 and 407.06

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Solution

The fourth proportional to 616.53, 850.69 and 407.06 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.53 : 850.69 = 407.06 : x
  2. Step 2: Convert to fraction form
    616.53/850.69 = 407.06/x
  3. Step 3: Cross multiply
    616.53x = 850.69 × 407.06
  4. Step 4: Simplify right side
    616.53x = 346,281.87
  5. Step 5: Solve for x
    x = 346,281.87/616.53
  6. Step 6: Final answer
    x = 561.66

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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.