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Finding the Fourth Proportional to 591.02, 813.93 and 416.06

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Solution

The fourth proportional to 591.02, 813.93 and 416.06 is: 572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.02 : 813.93 = 416.06 : x
  2. Step 2: Convert to fraction form
    591.02/813.93 = 416.06/x
  3. Step 3: Cross multiply
    591.02x = 813.93 × 416.06
  4. Step 4: Simplify right side
    591.02x = 338,643.72
  5. Step 5: Solve for x
    x = 338,643.72/591.02
  6. Step 6: Final answer
    x = 572.98

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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.