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Finding the Fourth Proportional to 595.01, 821.30 and 346.45

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Solution

The fourth proportional to 595.01, 821.30 and 346.45 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.01 : 821.30 = 346.45 : x
  2. Step 2: Convert to fraction form
    595.01/821.30 = 346.45/x
  3. Step 3: Cross multiply
    595.01x = 821.30 × 346.45
  4. Step 4: Simplify right side
    595.01x = 284,539.39
  5. Step 5: Solve for x
    x = 284,539.39/595.01
  6. Step 6: Final answer
    x = 478.21

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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.