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Finding the Fourth Proportional to 597.99, 825.63 and 534.77

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Solution

The fourth proportional to 597.99, 825.63 and 534.77 is: 738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.99 : 825.63 = 534.77 : x
  2. Step 2: Convert to fraction form
    597.99/825.63 = 534.77/x
  3. Step 3: Cross multiply
    597.99x = 825.63 × 534.77
  4. Step 4: Simplify right side
    597.99x = 441,522.04
  5. Step 5: Solve for x
    x = 441,522.04/597.99
  6. Step 6: Final answer
    x = 738.35

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1.5x scale

Why These Related Problems?

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