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Finding the Fourth Proportional to 597.37, 895.63 and 353.77

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Solution

The fourth proportional to 597.37, 895.63 and 353.77 is: 530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.37 : 895.63 = 353.77 : x
  2. Step 2: Convert to fraction form
    597.37/895.63 = 353.77/x
  3. Step 3: Cross multiply
    597.37x = 895.63 × 353.77
  4. Step 4: Simplify right side
    597.37x = 316,847.03
  5. Step 5: Solve for x
    x = 316,847.03/597.37
  6. Step 6: Final answer
    x = 530.40

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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.