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Finding the Fourth Proportional to 425.60, 586.32 and 407.60

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Solution

The fourth proportional to 425.60, 586.32 and 407.60 is: 561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.60 : 586.32 = 407.60 : x
  2. Step 2: Convert to fraction form
    425.60/586.32 = 407.60/x
  3. Step 3: Cross multiply
    425.60x = 586.32 × 407.60
  4. Step 4: Simplify right side
    425.60x = 238,984.03
  5. Step 5: Solve for x
    x = 238,984.03/425.60
  6. Step 6: Final answer
    x = 561.52

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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.