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Finding the Fourth Proportional to 425.07, 583.65 and 362.16

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Solution

The fourth proportional to 425.07, 583.65 and 362.16 is: 497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.07 : 583.65 = 362.16 : x
  2. Step 2: Convert to fraction form
    425.07/583.65 = 362.16/x
  3. Step 3: Cross multiply
    425.07x = 583.65 × 362.16
  4. Step 4: Simplify right side
    425.07x = 211,374.68
  5. Step 5: Solve for x
    x = 211,374.68/425.07
  6. Step 6: Final answer
    x = 497.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.