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Finding the Fourth Proportional to 530.53, 730.65 and 427.56

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Solution

The fourth proportional to 530.53, 730.65 and 427.56 is: 588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.53 : 730.65 = 427.56 : x
  2. Step 2: Convert to fraction form
    530.53/730.65 = 427.56/x
  3. Step 3: Cross multiply
    530.53x = 730.65 × 427.56
  4. Step 4: Simplify right side
    530.53x = 312,396.71
  5. Step 5: Solve for x
    x = 312,396.71/530.53
  6. Step 6: Final answer
    x = 588.84

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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.