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Finding the Fourth Proportional to 530.32, 731.37 and 412.33

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Solution

The fourth proportional to 530.32, 731.37 and 412.33 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.32 : 731.37 = 412.33 : x
  2. Step 2: Convert to fraction form
    530.32/731.37 = 412.33/x
  3. Step 3: Cross multiply
    530.32x = 731.37 × 412.33
  4. Step 4: Simplify right side
    530.32x = 301,565.79
  5. Step 5: Solve for x
    x = 301,565.79/530.32
  6. Step 6: Final answer
    x = 568.65

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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.