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Finding the Fourth Proportional to 429.84, 592.71 and 297.12

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Solution

The fourth proportional to 429.84, 592.71 and 297.12 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 592.71 = 297.12 : x
  2. Step 2: Convert to fraction form
    429.84/592.71 = 297.12/x
  3. Step 3: Cross multiply
    429.84x = 592.71 × 297.12
  4. Step 4: Simplify right side
    429.84x = 176,106.00
  5. Step 5: Solve for x
    x = 176,106.00/429.84
  6. Step 6: Final answer
    x = 409.70

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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.