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Finding the Fourth Proportional to 601.00, 830.16 and 414.16

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Solution

The fourth proportional to 601.00, 830.16 and 414.16 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.00 : 830.16 = 414.16 : x
  2. Step 2: Convert to fraction form
    601.00/830.16 = 414.16/x
  3. Step 3: Cross multiply
    601.00x = 830.16 × 414.16
  4. Step 4: Simplify right side
    601.00x = 343,816.99
  5. Step 5: Solve for x
    x = 343,816.99/601.00
  6. Step 6: Final answer
    x = 572.08

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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.