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Finding the Fourth Proportional to 588.79, 813.93 and 471.93

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Solution

The fourth proportional to 588.79, 813.93 and 471.93 is: 652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.79 : 813.93 = 471.93 : x
  2. Step 2: Convert to fraction form
    588.79/813.93 = 471.93/x
  3. Step 3: Cross multiply
    588.79x = 813.93 × 471.93
  4. Step 4: Simplify right side
    588.79x = 384,113.16
  5. Step 5: Solve for x
    x = 384,113.16/588.79
  6. Step 6: Final answer
    x = 652.38

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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.