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Finding the Fourth Proportional to 425.02, 586.22 and 390.16

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Solution

The fourth proportional to 425.02, 586.22 and 390.16 is: 538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.02 : 586.22 = 390.16 : x
  2. Step 2: Convert to fraction form
    425.02/586.22 = 390.16/x
  3. Step 3: Cross multiply
    425.02x = 586.22 × 390.16
  4. Step 4: Simplify right side
    425.02x = 228,719.60
  5. Step 5: Solve for x
    x = 228,719.60/425.02
  6. Step 6: Final answer
    x = 538.14

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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.