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Finding the Fourth Proportional to 597.45, 824.64 and 420.39

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Solution

The fourth proportional to 597.45, 824.64 and 420.39 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.45 : 824.64 = 420.39 : x
  2. Step 2: Convert to fraction form
    597.45/824.64 = 420.39/x
  3. Step 3: Cross multiply
    597.45x = 824.64 × 420.39
  4. Step 4: Simplify right side
    597.45x = 346,670.41
  5. Step 5: Solve for x
    x = 346,670.41/597.45
  6. Step 6: Final answer
    x = 580.25

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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.