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Finding the Fourth Proportional to 545.76, 752.76 and 502.56

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Solution

The fourth proportional to 545.76, 752.76 and 502.56 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 752.76 = 502.56 : x
  2. Step 2: Convert to fraction form
    545.76/752.76 = 502.56/x
  3. Step 3: Cross multiply
    545.76x = 752.76 × 502.56
  4. Step 4: Simplify right side
    545.76x = 378,307.07
  5. Step 5: Solve for x
    x = 378,307.07/545.76
  6. Step 6: Final answer
    x = 693.17

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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.