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Finding the Fourth Proportional to 595.02, 821.15 and 346.35

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Solution

The fourth proportional to 595.02, 821.15 and 346.35 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.02 : 821.15 = 346.35 : x
  2. Step 2: Convert to fraction form
    595.02/821.15 = 346.35/x
  3. Step 3: Cross multiply
    595.02x = 821.15 × 346.35
  4. Step 4: Simplify right side
    595.02x = 284,405.30
  5. Step 5: Solve for x
    x = 284,405.30/595.02
  6. Step 6: Final answer
    x = 477.98

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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.