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Finding the Fourth Proportional to 428, 590.93 and 328.24

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Solution

The fourth proportional to 428, 590.93 and 328.24 is: 453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 590.93 = 328.24 : x
  2. Step 2: Convert to fraction form
    428/590.93 = 328.24/x
  3. Step 3: Cross multiply
    428x = 590.93 × 328.24
  4. Step 4: Simplify right side
    428x = 193,966.86
  5. Step 5: Solve for x
    x = 193,966.86/428
  6. Step 6: Final answer
    x = 453.19

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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.