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Finding the Fourth Proportional to 595.37, 821.65 and 346.77

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Solution

The fourth proportional to 595.37, 821.65 and 346.77 is: 478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.37 : 821.65 = 346.77 : x
  2. Step 2: Convert to fraction form
    595.37/821.65 = 346.77/x
  3. Step 3: Cross multiply
    595.37x = 821.65 × 346.77
  4. Step 4: Simplify right side
    595.37x = 284,923.57
  5. Step 5: Solve for x
    x = 284,923.57/595.37
  6. Step 6: Final answer
    x = 478.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.