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Finding the Fourth Proportional to 432.93, 597.74 and 320.93

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Solution

The fourth proportional to 432.93, 597.74 and 320.93 is: 443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.93 : 597.74 = 320.93 : x
  2. Step 2: Convert to fraction form
    432.93/597.74 = 320.93/x
  3. Step 3: Cross multiply
    432.93x = 597.74 × 320.93
  4. Step 4: Simplify right side
    432.93x = 191,829.71
  5. Step 5: Solve for x
    x = 191,829.71/432.93
  6. Step 6: Final answer
    x = 443.10

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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.