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Finding the Fourth Proportional to 432.64, 597.14 and 264.64

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Solution

The fourth proportional to 432.64, 597.14 and 264.64 is: 365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 597.14 = 264.64 : x
  2. Step 2: Convert to fraction form
    432.64/597.14 = 264.64/x
  3. Step 3: Cross multiply
    432.64x = 597.14 × 264.64
  4. Step 4: Simplify right side
    432.64x = 158,027.13
  5. Step 5: Solve for x
    x = 158,027.13/432.64
  6. Step 6: Final answer
    x = 365.26

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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.