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Finding the Fourth Proportional to 595.24, 821.51 and 346.70

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Solution

The fourth proportional to 595.24, 821.51 and 346.70 is: 478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.24 : 821.51 = 346.70 : x
  2. Step 2: Convert to fraction form
    595.24/821.51 = 346.70/x
  3. Step 3: Cross multiply
    595.24x = 821.51 × 346.70
  4. Step 4: Simplify right side
    595.24x = 284,814.28
  5. Step 5: Solve for x
    x = 284,814.28/595.24
  6. Step 6: Final answer
    x = 478.49

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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.