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Finding the Fourth Proportional to 353.48, 530.57 and 289.24

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Solution

The fourth proportional to 353.48, 530.57 and 289.24 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.48 : 530.57 = 289.24 : x
  2. Step 2: Convert to fraction form
    353.48/530.57 = 289.24/x
  3. Step 3: Cross multiply
    353.48x = 530.57 × 289.24
  4. Step 4: Simplify right side
    353.48x = 153,459.29
  5. Step 5: Solve for x
    x = 153,459.29/353.48
  6. Step 6: Final answer
    x = 434.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.