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Finding the Fourth Proportional to 599.04, 900.20 and 560.16

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Solution

The fourth proportional to 599.04, 900.20 and 560.16 is: 841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.04 : 900.20 = 560.16 : x
  2. Step 2: Convert to fraction form
    599.04/900.20 = 560.16/x
  3. Step 3: Cross multiply
    599.04x = 900.20 × 560.16
  4. Step 4: Simplify right side
    599.04x = 504,256.03
  5. Step 5: Solve for x
    x = 504,256.03/599.04
  6. Step 6: Final answer
    x = 841.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.