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Finding the Fourth Proportional to 430.53, 594.16 and 262.45

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Solution

The fourth proportional to 430.53, 594.16 and 262.45 is: 362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.53 : 594.16 = 262.45 : x
  2. Step 2: Convert to fraction form
    430.53/594.16 = 262.45/x
  3. Step 3: Cross multiply
    430.53x = 594.16 × 262.45
  4. Step 4: Simplify right side
    430.53x = 155,937.29
  5. Step 5: Solve for x
    x = 155,937.29/430.53
  6. Step 6: Final answer
    x = 362.20

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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.