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Finding the Fourth Proportional to 597.84, 825.12 and 365.12

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Solution

The fourth proportional to 597.84, 825.12 and 365.12 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 825.12 = 365.12 : x
  2. Step 2: Convert to fraction form
    597.84/825.12 = 365.12/x
  3. Step 3: Cross multiply
    597.84x = 825.12 × 365.12
  4. Step 4: Simplify right side
    597.84x = 301,267.81
  5. Step 5: Solve for x
    x = 301,267.81/597.84
  6. Step 6: Final answer
    x = 503.93

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Double scale
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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.