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Finding the Fourth Proportional to 604.64, 900.52 and 597.12

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Solution

The fourth proportional to 604.64, 900.52 and 597.12 is: 889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.64 : 900.52 = 597.12 : x
  2. Step 2: Convert to fraction form
    604.64/900.52 = 597.12/x
  3. Step 3: Cross multiply
    604.64x = 900.52 × 597.12
  4. Step 4: Simplify right side
    604.64x = 537,718.50
  5. Step 5: Solve for x
    x = 537,718.50/604.64
  6. Step 6: Final answer
    x = 889.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.