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Finding the Fourth Proportional to 420.77, 580.91 and 315

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Solution

The fourth proportional to 420.77, 580.91 and 315 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.77 : 580.91 = 315 : x
  2. Step 2: Convert to fraction form
    420.77/580.91 = 315/x
  3. Step 3: Cross multiply
    420.77x = 580.91 × 315
  4. Step 4: Simplify right side
    420.77x = 182,985.08
  5. Step 5: Solve for x
    x = 182,985.08/420.77
  6. Step 6: Final answer
    x = 434.89

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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.