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Finding the Fourth Proportional to 595.14, 821.28 and 346.50

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Solution

The fourth proportional to 595.14, 821.28 and 346.50 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.14 : 821.28 = 346.50 : x
  2. Step 2: Convert to fraction form
    595.14/821.28 = 346.50/x
  3. Step 3: Cross multiply
    595.14x = 821.28 × 346.50
  4. Step 4: Simplify right side
    595.14x = 284,573.52
  5. Step 5: Solve for x
    x = 284,573.52/595.14
  6. Step 6: Final answer
    x = 478.16

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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.